On Complementability of Nonmetacyclic Subgroups in Finite $A$-Groups
We study groups G that satisfy the following conditions: (i) G is a finite solvable group with nonprimary metacyclic second subgroup and (ii) all Sylow subgroups of the group G are elementary Abelian subgroups. We describe the structure of groups of this type with complementable nonmetacyclic subgro...
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| Дата: | 2001 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2001
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/4381 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510511041347584 |
|---|---|
| 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 | 2020-03-18T20:27:29Z |
| description | We study groups G that satisfy the following conditions: (i) G is a finite solvable group with nonprimary metacyclic second subgroup and (ii) all Sylow subgroups of the group G are elementary Abelian subgroups. We describe the structure of groups of this type with complementable nonmetacyclic subgroups. |
| first_indexed | 2026-03-24T02:58:09Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4381 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:58:09Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/12/d37b520db8c1eed67456620415c66d12.pdf |
| spelling | umjimathkievua-article-43812020-03-18T20:27:29Z On Complementability of Nonmetacyclic Subgroups in Finite $A$-Groups О дополняемости пеметациклических подгрупп в конечных $А$-группах Baryshovets, P. P. Барышовец, П. П. Барышовец, П. П. We study groups G that satisfy the following conditions: (i) G is a finite solvable group with nonprimary metacyclic second subgroup and (ii) all Sylow subgroups of the group G are elementary Abelian subgroups. We describe the structure of groups of this type with complementable nonmetacyclic subgroups. Вивчаються групи $G$, які задовольняють такі умови: 1) $G$ — скінченна розв'язна група з не-примарним метациклічним другим комутантом; 2) всі силовські підгрупи з G елементарні абелеві. Наведено опис будови таких груп з доповнюваними неметациклічними підгрупами. Institute of Mathematics, NAS of Ukraine 2001-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4381 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 12 (2001); 1600-1606 Український математичний журнал; Том 53 № 12 (2001); 1600-1606 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4381/5466 https://umj.imath.kiev.ua/index.php/umj/article/view/4381/5467 Copyright (c) 2001 Baryshovets P. P. |
| spellingShingle | Baryshovets, P. P. Барышовец, П. П. Барышовец, П. П. On Complementability of Nonmetacyclic Subgroups in Finite $A$-Groups |
| title | On Complementability of Nonmetacyclic Subgroups in Finite $A$-Groups |
| title_alt | О дополняемости пеметациклических подгрупп в конечных
$А$-группах |
| title_full | On Complementability of Nonmetacyclic Subgroups in Finite $A$-Groups |
| title_fullStr | On Complementability of Nonmetacyclic Subgroups in Finite $A$-Groups |
| title_full_unstemmed | On Complementability of Nonmetacyclic Subgroups in Finite $A$-Groups |
| title_short | On Complementability of Nonmetacyclic Subgroups in Finite $A$-Groups |
| title_sort | on complementability of nonmetacyclic subgroups in finite $a$-groups |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4381 |
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