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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">10.22405/2226-8383-2021-22-1-495-501</article-id><article-id custom-type="elpub" pub-id-type="custom">cheb-962</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>Краткие сообщения</subject></subj-group></article-categories><title-group><article-title>Замечание о произведении двух формационных tcc-подгрупп</article-title><trans-title-group xml:lang="en"><trans-title>A remark on a product of two formational tcc-subgroups</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>Трофимук</surname><given-names>Александр Александрович</given-names></name><name name-style="western" xml:lang="en"><surname>Trofimuk</surname><given-names>Alexander Alexandrovich</given-names></name></name-alternatives><bio xml:lang="ru"><p>кандидат физико-математических наук</p></bio><bio xml:lang="en"><p>candidate of physical and mathematical sciences</p></bio><email xlink:type="simple">alexander.trofimuk@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Брестский государственный университет им. А.С. Пушкина</institution><country>Беларусь</country></aff><aff xml:lang="en"><institution>Brest State A.S. Pushkin University</institution><country>Belarus</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>07</day><month>04</month><year>2021</year></pub-date><volume>22</volume><issue>1</issue><fpage>495</fpage><lpage>501</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Трофимук А.А., 2021</copyright-statement><copyright-year>2021</copyright-year><copyright-holder xml:lang="ru">Трофимук А.А.</copyright-holder><copyright-holder xml:lang="en">Trofimuk A.A.</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/962">https://www.chebsbornik.ru/jour/article/view/962</self-uri><abstract><p>Подгруппа 𝐴 группы 𝐺 называется tcc-подгруппой в 𝐺, если существует подгруппа 𝑇 группы 𝐺 такая, что 𝐺 = 𝐴𝑇 и для любого 𝑋 6 𝐴 и 𝑌 6 𝑇 существует элемент 𝑢 ∈ ⟨𝑋, 𝑌 ⟩ такой, что 𝑋𝑌 𝑢 ≤ 𝐺. Запись 𝐻 6 𝐺 означает, что 𝐻 является подгруппойгруппы 𝐺. В этой статье мы исследуем группу 𝐺 = 𝐴𝐵 при условии, что 𝐴 и 𝐵 являются tcc-подгруппами в 𝐺. Доказано, что такая группа 𝐺 принадлежит F, если подгруппы 𝐴 и𝐵 принадлежат F, где F — насыщенная формация такая, что U ⊆ F. Здесь U — формация всех сверхразрешимых групп.</p></abstract><trans-abstract xml:lang="en"><p>A subgroup 𝐴 of a group 𝐺 is called tcc-subgroup in 𝐺, if there is a subgroup 𝑇 of 𝐺 such that 𝐺 = 𝐴𝑇 and for any 𝑋 6 𝐴 and 𝑌 6 𝑇 there exists an element 𝑢 ∈ ⟨𝑋, 𝑌 ⟩ such that 𝑋𝑌 𝑢 ≤ 𝐺. The notation 𝐻 6 𝐺 means that 𝐻 is a subgroup of a group 𝐺. In this paper we consider a group 𝐺 = 𝐴𝐵 such that 𝐴 and 𝐵 are tcc-subgroups in 𝐺. We prove that 𝐺 belongs to F, when 𝐴 and 𝐵 belong to F and F is a saturated formation such that U ⊆ F. Here U is the formation of all supersoluble groups.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>сверхразрешимая группа</kwd><kwd>тотально перестановочное произведение</kwd><kwd>на- сыщенная формация</kwd><kwd>tcc-перестановочное произведение</kwd><kwd>tcc-подгруппа</kwd></kwd-group><kwd-group xml:lang="en"><kwd>supersoluble group</kwd><kwd>totally permutable product</kwd><kwd>saturated formation</kwd><kwd>tccpermutable product</kwd><kwd>tcc-subgroup</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Исследование выполнено при финансовой поддержке Белорусского республиканского фонда фундамен- тальных исследований (проект Ф19РМ-071)</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Huppert B. Endliche Gruppen I. 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