Groups with Maximality Condition for Nonhypercentral Subgroups

We obtain a characterization of not finitely generated groups with maximality condition for nonhypercentral (respectively, nonnilpotent) subgroups.

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Date:2002
Main Authors: Artemovich, O. D., Артемович, О. Д.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2002
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4125
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Artemovich, O. D.
Артемович, О. Д.
Артемович, О. Д.
author_facet Artemovich, O. D.
Артемович, О. Д.
Артемович, О. Д.
author_sort Artemovich, O. D.
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datestamp_date 2020-03-18T20:23:13Z
description We obtain a characterization of not finitely generated groups with maximality condition for nonhypercentral (respectively, nonnilpotent) subgroups.
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spelling umjimathkievua-article-41252020-03-18T20:23:13Z Groups with Maximality Condition for Nonhypercentral Subgroups Группы с условием максимальности для негиперцентральных подгрупп Artemovich, O. D. Артемович, О. Д. Артемович, О. Д. We obtain a characterization of not finitely generated groups with maximality condition for nonhypercentral (respectively, nonnilpotent) subgroups. Отримано характернзацію груп, які не є скінченнопородженими, з умовою максимальності для негіперцентральних (відповідно ненільпотентних) підгруп. Institute of Mathematics, NAS of Ukraine 2002-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4125 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 7 (2002); 887-896 Український математичний журнал; Том 54 № 7 (2002); 887-896 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4125/4959 https://umj.imath.kiev.ua/index.php/umj/article/view/4125/4960 Copyright (c) 2002 Artemovich O. D.
spellingShingle Artemovich, O. D.
Артемович, О. Д.
Артемович, О. Д.
Groups with Maximality Condition for Nonhypercentral Subgroups
title Groups with Maximality Condition for Nonhypercentral Subgroups
title_alt Группы с условием максимальности для негиперцентральных подгрупп
title_full Groups with Maximality Condition for Nonhypercentral Subgroups
title_fullStr Groups with Maximality Condition for Nonhypercentral Subgroups
title_full_unstemmed Groups with Maximality Condition for Nonhypercentral Subgroups
title_short Groups with Maximality Condition for Nonhypercentral Subgroups
title_sort groups with maximality condition for nonhypercentral subgroups
url https://umj.imath.kiev.ua/index.php/umj/article/view/4125
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