chebЧебышевский сборникChebyshevskii Sbornik2226-8383Tula State Lev Tolstoy Pedagogical University10.22405/2226-8383-2021-22-2-347-365cheb-1002Research ArticleПамятные датыMemorable datesАлександр Юрьевич Ольшанский (к 75-летию)Alexander Yuryevich Olshanskii (to the 75th anniversary)И. Н. Балаба, Н. В. Безверхний, А. А. Вдовина, В. С. Губа, А. Э. Гутерман, Г. С. Дерябина,К. К. Андреев, Г. Н. Аржанцева В. А. Артамонов, В. С. АтабекянI. N. Balaba, N. V. Bezverkhny, A. A. Vdovina, V. S. Guba, A. E. Guterman, G. S. DeryabinaK. K. Andreev, G. N. Arzhantseva, V. A. Artamonov, V. S. Atabekyan,cheb@tsput.ruО. В. Куликова, О. В. Маркова, В. Г. Микаелян, М. В. Милентьева, А. Э. МинасянН. М. Добровольский, М. В. Зайцев, А. Л. Канунников, А. А. Клячко,O. V. Kulikova, O. V. Markova, V. G. Mikaelyan, M. V. Milentyeva, A. E. Minasyan,N. M. Dobrovolsky, M. V. Zaicev, A. L. Kanunnikov, A. A. Klyachko,cheb@tsput.ruЮ. С. Семёнов, Д. А. Тимашёв, В. Н. Чубариков, И. А. Чубаров, Е. Е. ШиршоваК. В. Михайловский, А. В. Михалёв, А. Е. Панкратьев, Ю. Г. Прохоров,Yu. S. Semenov, D. A. Timashev, V. N. Chubarikov, I. A. Chubarov, E. E. ShirshovaK. V. Mikhailovsky, A. V. Mikhalev, A. E. Pankratiev, Yu. G. Prokhorov,cheb@tsput.ru202101062021222347365Copyright © И. Н. Балаба, Н. В. Безверхний, А. А. Вдовина, В. С. Губа, А. Э. Гутерман, Г. С. Дерябина, К.В., О. В. Куликова, О. В. Маркова, В. Г. Микаелян, М. В. Милентьева, А. Э. Минасян Н.А., Ю. С. Семёнов, Д. А. Тимашёв, В. Н. Чубариков, И. А. Чубаров, Е. Е. Ширшова К.А., 20212021И. Н. Балаба, Н. В. Безверхний, А. А. Вдовина, В. С. Губа, А. Э. Гутерман, Г. С. Дерябина, К.В., О. В. Куликова, О. В. Маркова, В. Г. Микаелян, М. В. Милентьева, А. Э. Минасян Н.А., Ю. С. Семёнов, Д. А. Тимашёв, В. Н. Чубариков, И. А. Чубаров, Е. Е. Ширшова К.А.I. N. Balaba, N. V. Bezverkhny, A. A. Vdovina, V. S. Guba, A. E. Guterman, G. S. Deryabina K.V., O. V. Kulikova, O. V. Markova, V. G. Mikaelyan, M. V. Milentyeva, A. E. Minasyan, N.A., Yu. S. Semenov, D. A. Timashev, V. N. Chubarikov, I. A. Chubarov, E. E. Shirshova K.A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.chebsbornik.ru/jour/article/view/1002

В статье, посвященной 75-летию Александра Юрьевича Ольшанского, коллеги, друзья и ученики отразили биографические данные о юбиляре, сведения о его студенческой жизни, учебе в аспирантуре, привели краткие сведения о его научной и педагогической деятельности, об участии в математической жизни мирового сообщества.

In the article dedicated to the 75th anniversary of Alexander Olshanskii, colleagues, friends and students reflected biographical information about the hero of the day, information abouthis student life, studies in graduate school, gave brief information about his scientific and pedagogical activities, about participation in the mathematical life of the world community.

комбинаторная теория группгеометрические методы в теории группмногообразия групп и колец.combinatorial group theorygeometric methods in group theoryvarieties of groups and ringsReferencesК. К. Андреев, А. Ю. Ольшанский. Об аппроксимации групп. Вестник Московского университета. Серия 1: Математика. Механика, 23(2):60–62, 1968.K. K. Andreyev, A. Yu. Olshanskii. On the residual property of groups. Vestnik Mosk. Univ., Ser. Matem, 23(2):60–62, 1968. (in Russian)А. Ю. Ольшанский. Об одной задаче Ханны Нейманн. Математический сборник, 76:449– 453, 1968.A. Yu. Olshanskii. On a Hanna Neumann’s problem. Matem. Sborni, 76:449–453, 1968.(in Russian)А. Ю. Ольшанский. Многообразия финитно аппроксимируемых групп. Известия АН СССР. Серия математическая, 33:915–927, 1969.A. Yu. Olshanskii. Varieties of residually finite groups. Izvestia Akad. Nauk SSSR, Ser. Matem, 33:915–927, 1969.(in Russian)А. Ю. Ольшанский. Проблема конечного базиса тождеств в группах. Известия АН СССР. Серия математическая, 34:376–384, 1970.A. Yu. Olshanskii. On the problem of a finite basis of identities for groups. Izvestia Akad. Nauk SSSR, Ser. Matem., 34:376–384, 1970.(in Russian)А. Ю. Ольшанский. Два замечания о многообразиях групп. Вестник Московского университета. Серия 1: Математика. Механика, 26(2):58–63, 1971.A. Yu. Olshanskii. Two remarks on varieties of groups. Vestnik Mosk. Univ., Ser. Matem., 26(2):58–63, 1971.(in Russian)А. Ю. Ольшанский. Разрешимые почти-кроссовы многообразия групп. МатематическийA. Yu. Olshanskii. Solvable just-non-Cross varieties of groups. Matem. Sbornik, 85(5):115–131, 1971.(in Russian)сборник, 85(5):115–131, 1971.A. Yu. Olshanskii. On orders of relatively free groups of locally finite varieties. Izvestia Akad. Nauk SSSR, Ser. Matem., 37(1):89–94, 1973.(in Russian)А. Ю. Ольшанский. О порядках свободных групп локально конечных многообразий. Известия АН СССР. Серия математическая, 37(1):89–94, 1973.A. Yu. Olshanskii.. On characteristic subgroups of free groups Uspekhi Matem. Nauk, 29(1(175)):179–180, 1974.(in Russian)А. Ю. Ольшанский. О характеристических подгруппах свободных групп. Успехи математических наук, 29(1(175)):179–180, 1974.A. Yu. Olshanskii.. Quasiidentities in finite groups. Sibirsk. Matem. J., 15:1409–1413, 1974.(in Russian)А. Ю. Ольшанский. Условные тождества в конечных группах. Сибирский математический журнал, 15:1409–1413, 1974.Yu. A. Bakhturin, A. Yu. Olshanskii. Identical relations in finite Lie rings. Matem. Sbornik, 96(4):543–559, 1975.(in Russian)Ю. А. Бахтурин, А. Ю. Ольшанский. Тождества в конечных кольцах Ли. Математический сборник, 96(4):543–559, 1975.Yu. A. Bakhturin,A. Yu. Olshanskii. On residual property and characteristic subalgebras of free Lie algebras Trudy Sem. im. I.G.Petrovskogo, 2:145–150, 1976.(in Russian)Ю. А. Бахтурин, А. Ю. Ольшанский. Аппроксимация и характеристические подалгебры в свободных алгебрах Ли. Труды семинара имени И.Г.Петровского, 2:145–150, 1976.Yu. A. Bakhturin, A. Yu. Olshanskii. Solvable just-non-Cross varieties of Lie rings. Matem. Sbornik, 100(3):384–399, 1976.(in Russian)Ю. А. Бахтурин, А. Ю. Ольшанский. Разрешимые почти кроссовы многообразия колец Ли. Математический сборник, 100(3):384–399, 1976.A. Yu. Olshanskii. To the questions on the number of generators and orders of abelian subgroups of finite p-groups. Matem. Zametki, 23(3):337–341, 1978.(in Russian)А. Ю. Ольшанский. К вопросу о порядках и числе порождающих абелевых подгрупп конечных 𝑝-групп. Математические заметки, 23(3):337–341, 1978.A. Yu. Olshanskii. On some infinite sets of identities. Trudy Sem. im. I. G. Petrovskogo, 3:139–146, 1978.(in Russian)А. Ю. Ольшанский. О некоторых бесконечных системах тождеств. Труды семинара им. И.Г. Петровского, 3:139–146, 1978.A. Yu. Olshanskii. Infinite groups with cyclic subgroups. Doklady Akad. Nauk SSSR, 245(4):785–787, 1979.(in Russian)А. Ю. Ольшанский. Бесконечные группы с циклическими подгруппами. Доклады Академии наук, 245(4):785–787, 1979.A. Yu. Olshansky On groups with cyclic subgroups,. Doklady Bulg. Akad. Nauk, 32(9):1165– 1166, 1979.(in Russian)А. Ю. Ольшанский. Группы с циклическими подгруппами. Comptes Rendus de l’Acad´emie Bulgare des Sciences, 32(9):1165–1166, 1979.A. Yu. Olshansky An infinite simple Noetherian torsion free group. Izvestia Akad. Nauk SSSR, Ser. Matem., 43(6):1328–1393, 1979.(in Russian)А. Ю. Ольшанский. О бесконечных простых нётеровых группах без кручения. Известия АН СССР. Серия математическая, 43(6):1328–1393, 1979.A. Yu. Olshansky Remark on a countable non-topologizable group. Vestnik Mosk. Univ., Ser. Matem., (3):103–103, 1980.(in Russian)А. Ю. Ольшанский. Замечание о счетной нетопологизируемой группе. Вестник Московского университета. Серия 1: Математика. Механика, (3):103–103, 1980.A. Yu. Olshansky To the question on the existence of an invariant mean on a group. Uspekhi Matem. Nauk, 35(4(214)):199–200, 1980.(in Russian)А. Ю. Ольшанский. К вопросу о существовании инвариантного среднего на группе. Успехи математических наук, 35(4(214)):199–200, 1980.A. Yu. Olshansky An infinite group with subgroups of prime orders. Izvestia Akad. Nauk SSSR, Ser. Matem., 44(2):309–321, 1980.(in Russian)А. Ю. Ольшанский. О бесконечных группах с подгруппами простых порядков. Известия АН СССР. Серия математическая, 44(2):309–321, 1980.A. Yu. Olshansky Groups of bounded period with subgroups of simple order. Algebra and Logika, 21(5):553–618, 1982.(in Russian)А. Ю. Ольшанский. Группы ограниченного периода с подгруппами простого порядка. Алгебра и логика, 21(5):553–618, 1982.A. Yu. Olshansky On Novikov - Adian’s theorem. Matem. Sbornik, 118(2):203–235, 1982.(in Russian)А. Ю. Ольшанский. О теореме Новикова – Адяна. Математический сборник, 118(2):203– 235, 1982.A. Yu. Olshanskii. On a geometric method in the combinatorial group theory. In ProceedingsA. Yu. Olshanskii. On a geometric method in the combinatorial group theory. In Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Warsaw, 1983), pages 415–424. PWN, Warsaw, 1984.of the International Congress of Mathematicians, Vol. 1, 2 (Warsaw, 1983), pages 415–424. PWN, Warsaw, 1984.И. С. Ашманов, А. Ю. Ольшанский. Об абелевых и центральных расширениях асферических групп. Известия высших учебных заведений. Математика, (11):48–60, 1985.I. S. Ashmanov, A. Yu. Olshansky. On abelian and central extensions of aspherical groups,. Izvestia Vuzov, Matem, (11):48–60, 1985.(in Russian)А. Ю. Ольшанский. Многообразия, в которых все конечные группы абелевы. Математический сборник, 126(1):59–82, 1985.A. Yu. Olshansky. Varieties in which all finite groups are abelian. Matem. Sbornik, 126(1):59– 82, 1985.(in Russian)Г. С. Дерябина, А. Ю. Ольшанский. Подгруппы квазиконечных групп. Успехи математических наук, 41(6(252)):169–170, 1986.G. S. Deryabina, A. Yu. Olshansky. Subgroups of quasifinite groups. Uspekhi Matem. Nauk, 41(6(252)):169–170, 1986.(in Russian)А. Ю. Ольшанский. О теореме Нейманнов–Шмелькина. Вестник Московского университета. Серия 1: Математика. Механика, (6):61–64, 1986.A. Yu. Olshansky. The Neumanns - Shmel’kin’s theorem. Vestnik Mosk. Univ., Ser. Matem., (6):61–64, 1986.(in Russian)Бахтурин Ю. А., Ольшанский А.Ю. Тождества. В Алгебра – 2, т. 18 of Итоги науки и техн. Сер. Соврем. пробл. мат. Фундам. направления, стр. 117–240. ВИНИТИ, 1988.Yu. A. Bahturin, A. Yu. Olshanskii Identities Algebra – 2, V. 18 of VINITI, Moscow, . 117–240. VINITI, Moscow, 1988.S. V. Ivanov, A. Yu. Olshanskii. Some applications of graded diagrams in combinatorial group theory. In Groups-St. Andrews 1989, Vol. 2, volume 160 of London Mathematical SocietyS. V. Ivanov, A. Yu. Olshanskii. Some applications of graded diagrams in combinatorial group theory. In Groups-St. Andrews 1989, Vol. 2, volume 160 of London Mathematical SocietyLecture Notes Series, pages 258–308. Cambridge Univ. Press, Cambridge, 1989.Lecture Notes Series, pages 258–308. Cambridge Univ. Press, Cambridge, 1989.A. Yu. Olshanskij, A. L. Shmelkin. Infinite groups. In Algebra, IV, volume 37 of Encyclopaedia Math. Sci, pages 1–95. Springer, Berlin, 1989.A. Yu. Olshanskij, A. L. Shmelkin. Infinite groups. In Algebra, IV, volume 37 of Encyclopaedia Math. Sci, pages 1–95. Springer, Berlin, 1989.А. Ю. Ольшанский. Диаграммы гомоморфизмов групп поверхностей. Сибирский математический журнал, 30(6):150–171, 1989.A. Yu. Olshanskii. Diagrams of homomorphisms of surface groups. Sibirsk. Matem. J., 30(6):150–171, 1989.(in Russian).А. Ю. Ольшанский. Проблема Мальцева об операциях над группами. Труды семинара им. И.Г. Петровского, (14):225–249, 1989.A. Yu. Olshanskii. The Mal’tsev problem on operations on groups. Trudy Sem. im. I. G. Petrovskogo, (14):225–249, 1989.(in Russian).А. Ю. Ольшанский. Экономные вложения счетных групп. Вестник Московского университета. Серия 1: Математика. Механика, (2):28–34, 1989.A. Yu. Olshanskii. Thrifty embeddings of countable groups Vestnik Mosk. Univ., Ser. Matem., (2):28–34, 1989.(in Russian).А. Ю. Ольшанский, Шмелькин А. Л. Бесконечные группы. В Алгебра – 4, Итоги науки и техн. Сер. Соврем. пробл. мат. Фундам. направления, стр. 5–113. ВИНИТИ, 1989.A. Yu. Olshanskii, A. L. Shmelkin Infinite groups. В Algebra – 4,Itogi Nauki i Tekhniki. Sovremen. problemy matem., Fundament. napravl.„ стр. 5–113. VINITI AN SSSR, 1989.(inА. Ю. Ольшанский. Замечание к моей статье "Диаграммы гомоморфизмов групп поверхностей" [Сибирский Математический Журнал, 30 (1989), №6, 150-171]. Сибирский математический журнал, 31(2):222–222, 1990.Russian).A. Yu. Olshanskii. Hyperbolicity of groups with subquadratic isoperimetric inequality. International Journal of Algebra and Computation, 1(3):281–289, 1991.A. Yu. Olshanskii. Замечание к моей статье "Diagrams of homomorphisms of surface groups" [Sibirsk. Matem. J., 30 (1989), №6, 150-171]. Sibirsk. Matem. J., 31(2):222–222, 1990.(in Russian).(in Russian).(in Russian).А. Ю. Ольшанский. Вложение счетных периодических групп в простые 2-порожденные периодические группы. Украинский математический журнал, 43(7-8):980–986, 1991.A. Yu. Olshanskii. Hyperbolicity of groups with subquadratic isoperimetric inequality. International Journal of Algebra and Computation, 1(3):281–289, 1991.А. Ю. Ольшанский. Периодические фактор-группы гиперболических групп. Математический сборник, 182(4):543–567, 1991.A. Yu. Olshanskii. Embedding of countable periodic groups into 2-generator simple periodic groups. Ukrain. Matem. J., 43(7-8):980–986, 1991.S. V. Ivanov, A. Yu. Olshanskii. On two problems of H. Neumann and J. Wiegold about linked products of groups. Bulletin of the Australian Mathematical Society, 46(2):311–315, 1992.A. Yu. Olshanskii Periodic quotients of hyperbolic groups. Matem. Sbornik., 182(4):543–567, 1991.A. Yu. Olshanskii. Addition to my talk at the conference. In Proceedings of the International Conference on Algebra, Part 1 (Novosibirsk, 1989), volume 131 of Contemp. Math, pagesS. V. Ivanov, A. Yu. Olshanskii. On two problems of H. Neumann and J. Wiegold about linked products of groups. Bulletin of the Australian Mathematical Society, 46(2):311–315, 1992.–497. Amer. Math. Soc., Providence, RI, 1992.A. Yu. Olshanskii. Addition to my talk at the conference. In Proceedings of the International Conference on Algebra, Part 1 (Novosibirsk, 1989), volume 131 of Contemp. Math, pagesA. Yu. Olshanskii. Almost every group is hyperbolic. International Journal of Algebra and Computation, 2(1):1–17, 1992.–497. Amer. Math. Soc., Providence, RI, 1992.А. Ю. Ольшанский. Вложение периодических групп в простые периодические группы. Украинский математический журнал, 44(6):845–847, 1992.A. Yu. Olshanskii. Almost every group is hyperbolic. International Journal of Algebra and Computation, 2(1):1–17, 1992.A. Yu. Olshanskii. On calculation of width in free groups. In Combinatorial and geometric group theory (Edinburgh, 1993), volume 204 of London Mathematical Society Lecture NotesA. Yu. Olshanskii Embedding of periodic groups into simple periodic groups. Ukrain. Matem. J., 44(6):845–847, 1992.(in Russian).Series, pages 255–258. Cambridge Univ. Press, Cambridge, 1993.A. Yu. Olshanskii. On calculation of width in free groups. In Combinatorial and geometric group theory (Edinburgh, 1993), volume 204 of London Mathematical Society Lecture NotesA. Yu. Olshanskii. On residualing homomorphisms and 𝐺-subgroups of hyperbolic groups. International Journal of Algebra and Computation, 3(4):365–409, 1993.Series, pages 255–258. Cambridge Univ. Press, Cambridge, 1993.K. V. Mikhajlovskii, A. Yu. Olshanskii. Some constructions relating to hyperbolic groups. In Geometry and cohomology in group theory (Durham, 1994), volume 252 of LondonA. Yu. Olshanskii. On residualing homomorphisms and 𝐺-subgroups of hyperbolic groups. International Journal of Algebra and Computation, 3(4):365–409, 1993.Mathematical Society Lecture Notes Series, pages 263–290. Cambridge Univ. Press, Cambridge, 1994.K. V. Mikhajlovskii, A. Yu. Olshanskii. Some constructions relating to hyperbolic groups. In Geometry and cohomology in group theory (Durham, 1994), volume 252 of LondonА. Ю. Ольшанский. SQ-универсальность гиперболических групп. Математический сборник, 86(8):119–132, 1995.Mathematical Society Lecture Notes Series, pages 263–290. Cambridge Univ. Press, Cambridge, 1994.S. V. Ivanov, A. Yu. Olshanskii. Hyperbolic groups and their quotients of bounded exponents. Transactions of the American Mathematical Society, 348(6):2091–2138, 1996.A. Yu. Olshanskii SQ-universality of hyperbolic groups Matem. Sbornik,, 186(8):119–132, 1995.(in Russian)A. Yu. Olshanskii. Distortion functions for subgroups. In Geometric group theory down under (Canberra, 1996), pages 281–291. de Gruyter, Berlin, 1996.S. V. Ivanov, A. Yu. Olshanskii. Hyperbolic groups and their quotients of bounded exponents. Transactions of the American Mathematical Society, 348(6):2091–2138, 1996.A. Yu. Olshanskii, A. Storozhev. A group variety defined by a semigroup law. J. Austral. Math. Soc. Ser. A, 60(2):255–259, 1996.A. Yu. Olshanskii. Distortion functions for subgroups. In Geometric group theory down under (Canberra, 1996), pages 281–291. de Gruyter, Berlin, 1996.Г. Н. Аржанцева, А. Ю. Ольшанский. Общность класса групп, в которых подгруппы с меньшим числом порождающих свободны. Математические заметки, 59(4):489–496, 1996.A. Yu. Olshanskii, A. Storozhev. A group variety defined by a semigroup law. J. Austral. Math. Soc. Ser. A, 60(2):255–259, 1996.S. V. Ivanov, A. Yu. Olshanskii. On finite and locally finite subgroups of free Burnside groups of large even exponents. Journal of Algebra, 195(1):241–284, 1997.G. N. Arzhantseva, A. Yu. Olshanskii Genericity of the class of groups in which subgroups with fewer number of generators are free Matem. Zametki, 59(4):489–496, 1996.(in Russian)A. Yu. Olshanskii. The growth of finite subgroups in 𝑝-groups. In Groups St. Andrews 1997 in Bath, II, volume 261 of London Mathematical Society Lecture Notes Series, pages 579–595. Cambridge Univ. Press, Cambridge, 1997.S. V. Ivanov, A. Yu. Olshanskii. On finite and locally finite subgroups of free Burnside groups of large even exponents. Journal of Algebra, 195(1):241–284, 1997.А. Ю. Ольшанский. Об искривлении подгрупп в конечно-определённых группах. Математический сборник, 188(11):51–98, 1997.A. Yu. Olshanskii. The growth of finite subgroups in 𝑝-groups. In Groups St. Andrews 1997 in Bath, II, volume 261 of London Mathematical Society Lecture Notes Series, pages 579–595. Cambridge Univ. Press, Cambridge, 1997.A. Yu. Olshanskii. A simplification of Golod’s example. In Groups-Korea ’98 (Pusan), pages 263–265. de Gruyter, Berlin, 1998.A. Yu. Olshanskii On the subgroup distortion inA. Yu. Olshanskii, M. V. Sapir. Length functions on subgroups in finitely presented groups. In Groups-Korea ’98 (Pusan), pages 297–304. de Gruyter, Berlin, 1998.nitely presented groups Matem. Sbornik, 188(11):51–98, 1997.(in Russian).A. Yu. Olshanskii, M. V. Sapir. Embeddings of relatively free groups into finitely presented groups. In Combinatorial and computational algebra (Hong Kong, 1999), volume 264 ofA. Yu. Olshanskii. A simplification of Golod’s example. In Groups-Korea ’98 (Pusan), pages 263–265. de Gruyter, Berlin, 1998.Contemp. Math, pages 23–47. Amer. Math. Soc., Providence, RI, 1999.A. Yu. Olshanskii, M. V. Sapir. Length functions on subgroups in finitely presented groups. In Groups-Korea ’98 (Pusan), pages 297–304. de Gruyter, Berlin, 1998.A. Yu. Olshanskii, M. V. Sapir. Quadratic isometric functions of the Heisenberg groups. A combinatorial proof. Journal of Mathematical Sciences (New York), 93(6):921–927, 1999.A. Yu. Olshanskii, M. V. Sapir. Embeddings of relatively free groups into finitely presented groups. In Combinatorial and computational algebra (Hong Kong, 1999), volume 264 ofA. Yu. Olshanskii. On the Bass-Lubotzky question about quotients of hyperbolic groups. Journal of Algebra, 226(2):807–817, 2000.Contemp. Math, pages 23–47. Amer. Math. Soc., Providence, RI, 1999.A. Yu. Olshanskii. Self-normalization of free subgroups in the free Burnside groups. In Groups, rings, Lie and Hopf algebras (St. John’s, NF, 2001), volume 555 of Math. Appl, pages 179–187. Kluwer Acad. Publ., Dordrecht, 2001.A. Yu. Olshanskii, M. V. Sapir. Quadratic isometric functions of the Heisenberg groups. A combinatorial proof. Journal of Mathematical Sciences (New York), 93(6):921–927, 1999.A. Yu. Olshanskii, M. V. Sapir. Length and area functions on groups and quasi-isometric Higman embeddings. International Journal of Algebra and Computation, 11(2):137–170, 2001.A. Yu. Olshanskii. On the Bass-Lubotzky question about quotients of hyperbolic groups. Journal of Algebra, 226(2):807–817, 2000.A. Yu. Olshanskii, M. V. Sapir. Non-amenable finitely presented torsion-by-cyclic groups. Electron. Res. Announc. Amer. Math. Soc, 7:63–71, 2001.A. Yu. Olshanskii. Self-normalization of free subgroups in the free Burnside groups. In Groups, rings, Lie and Hopf algebras (St. John’s, NF, 2001), volume 555 of Math. Appl, pages 179–187. Kluwer Acad. Publ., Dordrecht, 2001.A. Yu. Olshanskii, A. L. Shmelkin. Comparison of products of the varieties of Lie algebras. Communications in Algebra, 29(9):4267–4275, 2001.A. Yu. Olshanskii, M. V. Sapir. Length and area functions on groups and quasi-isometric Higman embeddings. International Journal of Algebra and Computation, 11(2):137–170, 2001.J. C. Birget, A. Yu. Olshanskii, E. Rips, M. V. Sapir. Isoperimetric functions of groups and computational complexity of the word problem. Annals of Mathematics, 156(2):467–518, 2002.A. Yu. Olshanskii, M. V. Sapir. Non-amenable finitely presented torsion-by-cyclic groups. Electron. Res. Announc. Amer. Math. Soc, 7:63–71, 2001.A. Yu. Olshanskii, Mark V. Sapir. Non-amenable finitely presented torsion-by-cyclic groups. Publ. Math. Inst. Hautes ´ Etudes Sci, (96):43–169(2003), 2002.A. Yu. Olshanskii, A. L. Shmelkin. Comparison of products of the varieties of Lie algebras. Communications in Algebra, 29(9):4267–4275, 2001.A. Yu. Olshanskii, M. V. Sapir. The conjugacy problem for groups, and Higman embeddings. Electron. Res. Announc. Amer. Math. Soc, 9:40–50, 2003.J. C. Birget, A. Yu. Olshanskii, E. Rips, M. V. Sapir. Isoperimetric functions of groups and computational complexity of the word problem. Annals of Mathematics, 156(2):467–518, 2002.A. Yu. Olshanskii, M. V. Sapir. The conjugacy problem and Higman embeddings. Memoirs of the American Mathematical Society, 170(804):viii+133, 2004.A. Yu. Olshanskii, Mark V. Sapir. Non-amenable finitely presented torsion-by-cyclic groups. Publ. Math. Inst. Hautes ´ Etudes Sci, (96):43–169(2003), 2002.A. Yu. Olshanskii, M. V. Sapir. Groups with non-simply connected asymptotic cones. In Topological and asymptotic aspects of group theory, volume 394 of Contemp. Math, pages 203– 208. Amer. Math. Soc., Providence, RI, 2004.A. Yu. Olshanskii, M. V. Sapir. The conjugacy problem for groups, and Higman embeddings. Electron. Res. Announc. Amer. Math. Soc, 9:40–50, 2003.A. Yu. Olshanskii, M. V. Sapir. Subgroups of finitely presented groups with solvable conjugacy problem. International Journal of Algebra and Computation, 15(5-6):1075–1084, 2005.A. Yu. Olshanskii, M. V. Sapir. The conjugacy problem and Higman embeddings. Memoirs of the American Mathematical Society, 170(804):viii+133, 2004.A. Yu. Olshanskii, M. V. Sapir. Groups with small Dehn functions and bipartite chord diagrams. Geometric and Functional Analysis, 16(6):1324–1376, 2006.A. Yu. Olshanskii, M. V. Sapir. Groups with non-simply connected asymptotic cones. In Topological and asymptotic aspects of group theory, volume 394 of Contemp. Math, pages 203– 208. Amer. Math. Soc., Providence, RI, 2004.О. В. Куликова, А. Ю. Ольшанский. О конечной представимости групп 𝐹/[𝑀,𝑁]. Вестник Московского университета. Серия 1: Математика. Механика, (6):19–21, 2006.A. Yu. Olshanskii, M. V. Sapir. Subgroups of finitely presented groups with solvable conjugacy problem. International Journal of Algebra and Computation, 15(5-6):1075–1084, 2005.Yu. Bahturin, A. Olshanskii. Large restricted Lie algebras. Journal of Algebra, 310(1):413–427, 2007.A. Yu. Olshanskii, M. V. Sapir. Groups with small Dehn functions and bipartite chord diagrams. Geometric and Functional Analysis, 16(6):1324–1376, 2006.A. Yu. Olshanskii. Linear automorphism groups of relatively free groups. Turkish Journal of Mathematics, 31(suppl.):105–111, 2007.O.V.Kulikova, A. Yu. Olshanskii On finite definability of groups F/[M,N]. Vestnik Moskovskogo Uni- versiteta Ser. 1, (6):19–21, 2006.A. Yu. Olshanskii, M. V. Sapir. A 2-generated 2-related group with no non-trivial finite quotients. Algebra and Discrete Mathematics, (2):111–114, 2007.Yu. Bahturin, A. Olshanskii. Large restricted Lie algebras. Journal of Algebra, 310(1):413–427, 2007.Alexander Yu. Olshanskii. Groups with quadratic-non-quadratic Dehn functions. International Journal of Algebra and Computation, 17(2):401–419, 2007.A. Yu. Olshanskii. Linear automorphism groups of relatively free groups. Turkish Journal of Mathematics, 31(suppl.):105–111, 2007.A. Yu.Olshanskii and M. V. Sapir. A finitely presented group with two non-homeomorphic asymptotic cones. International Journal of Algebra and Computation, 17(2):421–426, 2007.A. Yu. Olshanskii, M. V. Sapir. A 2-generated 2-related group with no non-trivial finite quotients. Algebra and Discrete Mathematics, (2):111–114, 2007.A. Yu. Olshanskii, D. V. Osin. Large groups and their periodic quotients. Proceedings of the American Mathematical Society. American Mathematical Society, 136(3):753–759, 2008.Alexander Yu. Olshanskii. Groups with quadratic-non-quadratic Dehn functions. International Journal of Algebra and Computation, 17(2):401–419, 2007.Yu. Bahturin, A. Olshanskii. Schreier rewriting beyond the classical setting. Sci. China Ser. A, 52(2):231–243, 2009.A. Yu.Olshanskii and M. V. Sapir. A finitely presented group with two non-homeomorphic asymptotic cones. International Journal of Algebra and Computation, 17(2):421–426, 2007.A. Minasyan, A. Yu. Olshanskii, D. Sonkin. Periodic quotients of hyperbolic and large groups. Groups, Geometry, and Dynamics, 3(3):423–452, 2009.A. Yu. Olshanskii, D. V. Osin. Large groups and their periodic quotients. Proceedings of the American Mathematical Society. American Mathematical Society, 136(3):753–759, 2008.A. Yu. Olshanskii. On products of 𝑇-ideals in free algebras and free group algebras. Journal of Pure and Applied Algebra, 213(2):259–263, 2009.Yu. Bahturin, A. Olshanskii. Schreier rewriting beyond the classical setting. Sci. China Ser. A, 52(2):231–243, 2009.A. Yu. Olshanskii, D. V. Osin, M. V. Sapir. Lacunary hyperbolic groups. Geometry and Topology, 13(4):2051–2140, 2009.A. Minasyan, A. Yu. Olshanskii, D. Sonkin. Periodic quotients of hyperbolic and large groups. Groups, Geometry, and Dynamics, 3(3):423–452, 2009.А. Ю. Ольшанский, М. В. Сапир. О группах типа 𝐹𝑘. Алгебра и логика, 48(2):245–257, 2009.A. Yu. Olshanskii. On products of 𝑇-ideals in free algebras and free group algebras. Journal of Pure and Applied Algebra, 213(2):259–263, 2009.Yu. Bahturin, A. Olshanskii. Actions of maximal growth. Proceedings of the London Mathematical Society, 101(1):27–72, 2010.A. Yu. Olshanskii, D. 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Subgroup distortion in wreath products of cyclic groups. Journal of Pure and Applied Algebra, 215:2987–3004, 2011.A. A. Klyachko, A. Yu. Olshanskii, D. V. Osin. On topologizable and non-topologizable groups.A. Yu. Olshanskii. Groups with undecidable word problem and almost quadratic Dehn function. Journal of Topology, 5(4):785–886, 2012.Topology and its Applications, 160(16):2104–2120, 2013.A. Yu. Olshanskii. Space functions of groups. Transactions of the American Mathematical Society, 364:4937–4985, 2012.V. H. Mikaelian, A. Yu. Olshanskii. On abelian subgroups of finitely generated metabelian groups. Journal of Group Theory, 16(5):695–705, 2013.A. A. Klyachko, A. Yu. Olshanskii, D. V. Osin. On topologizable and non-topologizable groups. Topology and its Applications, 160(16):2104–2120, 2013.A. Yu. Olshanskii. Space functions and space complexity of the word problem in semigroups. Computational Complexity, 22(4):771–830, 2013.V. H. Mikaelian, A. Yu. Olshanskii. On abelian subgroups of finitely generated metabelian groups. Journal of Group Theory, 16(5):695–705, 2013.A. Yu. Olshanskii, D. V. Osin. A quasi-isometric embedding theorem for groups. Duke Mathematical Journal, 162(9):1621–1648, 2013.A. Yu. Olshanskii. Space functions and space complexity of the word problem in semigroups. Computational Complexity, 22(4):771–830, 2013.A. Yu. Olshanskii, D. V. Osin. 𝐶*-simple groups without free subgroups. Groups, Geometry, and Dynamics, 8:933–983, 2014.A. Yu. Olshanskii, D. V. Osin. A quasi-isometric embedding theorem for groups. Duke Mathematical Journal, 162(9):1621–1648, 2013.Yu. A. Bahturin, A. Yu. Olshanskii. Growth of subalgebras and subideals in free Lie algebras. Journal of Algebra, 422:277–305, 2015.A. Yu. Olshanskii, D. V. Osin. 𝐶*-simple groups without free subgroups. Groups, Geometry, and Dynamics, 8:933–983, 2014.N. S. Boatman, A. Yu. Olshanskii. On identities in the products of group varieties. 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Diagonal bi-acts over semigroups with finiteness conditions. Semigroup Forum, 91(2):538–542, 2015.В. Д. Мазуров, А. Ю. Ольшанский, А. И. Созутов. О бесконечных группах конечного периода. Алгебра и логика, 54(2):243–251, 2015.A. Yu. Olshanskii. On pairs of finitely generated subgroups in free groups. Proceedings of the American Mathematical Society. American Mathematical Society, 143:4177–4188, 2015.A. Yu. Olshanskii. Embedding construction based on amalgamations of group relators. Journal of Topology and Analysis, 8:1–24, 2016.V.D. Mazurov, A. Yu. Olshanskii, A.I.Sozutov. On infinite groups of finite exponent. Algebra and Logica, 54(2):243–251, 2015.in Russian, English translation in Algebra and Logic: Volume 54, Issue 2 (2015)A. Yu. Olshanskii. Subnormal subgroups in free groups, their growth and co-growth. Mathematical Proceedings of the Cambridge Philosophical Society, 163:499–531, 2017.A. Yu. Olshanskii. Embedding construction based on amalgamations of group relators. Journal of Topology and Analysis, 8:1–24, 2016.A. Yu. Olshanskii. Polynomially-bounded Dehn functions of groups. Journal of Combinatorial Algebra, 2:311–433, 2018.A. Yu. Olshanskii. Subnormal subgroups in free groups, their growth and co-growth.Mathematical Proceedings of the Cambridge Philosophical Society, 163:499–531, 2017.A. Yu. Olshanskii, M. V. Sapir. On flat submaps of maps of nonpositive curvature. Transactions of the American Mathematical Society, 371(7):4869–4894, 2019.A. Yu. Olshanskii. Polynomially-bounded Dehn functions of groups. Journal of CombinatorialAlgebra, 2:311–433, 2018.Куликова О. В., Ольшанский А. Ю. О мощности множества определяющих соотношений группы. Фундаментальная и прикладная математика, 22(4):129–136, 2019.A. Yu. Olshanskii, M. V. Sapir. On flat submaps of maps of nonpositive curvature.Transactions of the American Mathematical Society, 371(7):4869–4894, 2019.A. Yu. Olshanskii. Groups finitely presented in Burnside varieties. 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The authors declare that there are no conflicts of interest present.