On Finite $A$-Groups with Complementable Nonmetacyclic Subgroups
We study groups G satisfying the following conditions: (i) G is a finite solvable group with nonidentity metacyclic second derived subgroup; (ii) all Sylow subgroups of G are Abelian, but not all of them are elementary Abelian. We give a description of the structure of such groups with complementabl...
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| Datum: | 2002 |
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| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2002
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4138 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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| author | Baryshovets, P. P. Барышовец, П. П. Барышовец, П. П. |
| author_facet | Baryshovets, P. P. Барышовец, П. П. Барышовец, П. П. |
| author_sort | Baryshovets, P. P. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:23:13Z |
| description | We study groups G satisfying the following conditions: (i) G is a finite solvable group with nonidentity metacyclic second derived subgroup; (ii) all Sylow subgroups of G are Abelian, but not all of them are elementary Abelian. We give a description of the structure of such groups with complementable nonmetacyclic subgroups. |
| first_indexed | 2026-03-24T02:54:22Z |
| format | Article |
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| id | umjimathkievua-article-4138 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:54:22Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/62/9015254afd3056b4bff179ff41117a62.pdf |
| spelling | umjimathkievua-article-41382020-03-18T20:23:13Z On Finite $A$-Groups with Complementable Nonmetacyclic Subgroups О конечных $A$-группах с дополняемыми неметациклическими подгруппами Baryshovets, P. P. Барышовец, П. П. Барышовец, П. П. We study groups G satisfying the following conditions: (i) G is a finite solvable group with nonidentity metacyclic second derived subgroup; (ii) all Sylow subgroups of G are Abelian, but not all of them are elementary Abelian. We give a description of the structure of such groups with complementable nonmetacyclic subgroups. Вивчаються групи $G$, які задовольняють такі умови: 1) $G$ - скінченна розв'язна група з неодиничним мегациклічним другим комутантом; 2) всі силовські підгрупи із $G$ абелеві, але не всі елементарні абелеві. Наведено опис будови таких груп з доповнюваними неметациклічними підгрупами. Institute of Mathematics, NAS of Ukraine 2002-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4138 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 7 (2002); 1004-1007 Український математичний журнал; Том 54 № 7 (2002); 1004-1007 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4138/4985 https://umj.imath.kiev.ua/index.php/umj/article/view/4138/4986 Copyright (c) 2002 Baryshovets P. P. |
| spellingShingle | Baryshovets, P. P. Барышовец, П. П. Барышовец, П. П. On Finite $A$-Groups with Complementable Nonmetacyclic Subgroups |
| title | On Finite $A$-Groups with Complementable Nonmetacyclic Subgroups |
| title_alt | О конечных $A$-группах с дополняемыми неметациклическими подгруппами |
| title_full | On Finite $A$-Groups with Complementable Nonmetacyclic Subgroups |
| title_fullStr | On Finite $A$-Groups with Complementable Nonmetacyclic Subgroups |
| title_full_unstemmed | On Finite $A$-Groups with Complementable Nonmetacyclic Subgroups |
| title_short | On Finite $A$-Groups with Complementable Nonmetacyclic Subgroups |
| title_sort | on finite $a$-groups with complementable nonmetacyclic subgroups |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4138 |
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