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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">cheb</journal-id><journal-title-group><journal-title xml:lang="ru">Чебышевский сборник</journal-title><trans-title-group xml:lang="en"><trans-title>Chebyshevskii Sbornik</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2226-8383</issn><publisher><publisher-name>Tula State Lev Tolstoy  Pedagogical University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.22405/2226-8383-2015-16-3-417-421</article-id><article-id custom-type="elpub" pub-id-type="custom">cheb-221</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Статьи</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Article</subject></subj-group></article-categories><title-group><article-title>К УСЛОВИЮ МАКСИМАЛЬНОСТИ ДЛЯ ПОДГРУПП ЛОКАЛЬНО РАЗРЕШИМОЙ ГРУППЫ</article-title><trans-title-group xml:lang="en"><trans-title>TO CONDITION THE MAXIMAL CONDITION FOR SUBGROUPS OF A LOCALLY SOLVABLE GROUP</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Султанов</surname><given-names>С. Р.</given-names></name><name name-style="western" xml:lang="en"><surname>Sultanov</surname><given-names>S. R.</given-names></name></name-alternatives><email xlink:type="simple">s.sultanov@rsu.edu.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="ru" id="aff-1"><institution>Рязанский государственный университет имени С. A. Есенина.</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2015</year></pub-date><pub-date pub-type="epub"><day>06</day><month>07</month><year>2016</year></pub-date><volume>16</volume><issue>3</issue><fpage>417</fpage><lpage>421</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Султанов С.Р., 2016</copyright-statement><copyright-year>2016</copyright-year><copyright-holder xml:lang="ru">Султанов С.Р.</copyright-holder><copyright-holder xml:lang="en">Sultanov S.R.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.chebsbornik.ru/jour/article/view/221">https://www.chebsbornik.ru/jour/article/view/221</self-uri><abstract><p>Исследуются группы с ограничениями на подгруппы. Рассматриваются локально разрешимые группы с условием максимальности для подгрупп. Выделена подгруппа локально разрешимой группы, такая, что из выполнимости для неё условия максимальности следует выполнимость данного условия на всей группе.</p><p> </p></abstract><trans-abstract xml:lang="en"><p>Studied groups with restrictions on subgroups.Considered locally solvable groups with the maximal condition for subgroups. Selected subgroup of a locally solvable group, such that satisfiability for the conditions maximal condition should the feasibility of the conditions throughout the group.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>Группа</kwd><kwd>условие максимальности</kwd><kwd>разрешимость</kwd><kwd>локальная разрешимость</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Group</kwd><kwd>the maximal condition</kwd><kwd>solvability</kwd><kwd>local solvability</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Каргаполов М.И., Мерзляков Ю.И. Основы теории групп. - 3-е изд. - М.: Наука, 1982. - 288 с.</mixed-citation><mixed-citation xml:lang="en">Kargapolov, M. I., Merzlyakov, Yu. I. "Osnovy teorii grupp." , [Foundations of group theory] 3rd edition, Nauka, Moscow, 288 p. (Russian)</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Понтрягин Л.С. Непрерывные группы. - М.: Наука, 1984. - 520 с.</mixed-citation><mixed-citation xml:lang="en">Pontryagin, L. S. 1984, "Nepreryvnye gruppy." , [Continuous groups] Nauka, Moscow, 520 pp. (Russian) Рязанский государственный университет имени С. A. Есенина.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru"></mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
