On groups with the minimal condition for non-invariant decomposable abelian subgroups
The infinite groups, in which there is no any infinite descending chain of non-invariant decomposable abelian subgroups (\(md\)-groups) are studied. Infinite groups with the minimal condition for non-invariant abelian subgroups, infinite groups with the condition of normality for all decomposable ab...
Збережено в:
| Дата: | 2018 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
|
| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/906 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| id |
oai:ojs.admjournal.luguniv.edu.ua:article-906 |
|---|---|
| record_format |
ojs |
| spelling |
oai:ojs.admjournal.luguniv.edu.ua:article-9062018-03-21T07:55:00Z On groups with the minimal condition for non-invariant decomposable abelian subgroups Lyman, F. N. Drushlyak, M. G. group, subgroup, order of the group, involution, locally finite group, non-periodic group, decomposable abelian subgroup, minimal condition, condition of normality The infinite groups, in which there is no any infinite descending chain of non-invariant decomposable abelian subgroups (\(md\)-groups) are studied. Infinite groups with the minimal condition for non-invariant abelian subgroups, infinite groups with the condition of normality for all decomposable abelian subgroups and others belong to the class of \(md\)-groups. The complete description of infinite locally finite and locally soluble non-periodic \(md\)-groups is given, the connection of the class of \(md\)-groups with other classes of groups are investigated. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/906 Algebra and Discrete Mathematics; Vol 5, No 4 (2006) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/906/435 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
group subgroup order of the group involution locally finite group non-periodic group decomposable abelian subgroup minimal condition condition of normality |
| spellingShingle |
group subgroup order of the group involution locally finite group non-periodic group decomposable abelian subgroup minimal condition condition of normality Lyman, F. N. Drushlyak, M. G. On groups with the minimal condition for non-invariant decomposable abelian subgroups |
| topic_facet |
group subgroup order of the group involution locally finite group non-periodic group decomposable abelian subgroup minimal condition condition of normality |
| format |
Article |
| author |
Lyman, F. N. Drushlyak, M. G. |
| author_facet |
Lyman, F. N. Drushlyak, M. G. |
| author_sort |
Lyman, F. N. |
| title |
On groups with the minimal condition for non-invariant decomposable abelian subgroups |
| title_short |
On groups with the minimal condition for non-invariant decomposable abelian subgroups |
| title_full |
On groups with the minimal condition for non-invariant decomposable abelian subgroups |
| title_fullStr |
On groups with the minimal condition for non-invariant decomposable abelian subgroups |
| title_full_unstemmed |
On groups with the minimal condition for non-invariant decomposable abelian subgroups |
| title_sort |
on groups with the minimal condition for non-invariant decomposable abelian subgroups |
| description |
The infinite groups, in which there is no any infinite descending chain of non-invariant decomposable abelian subgroups (\(md\)-groups) are studied. Infinite groups with the minimal condition for non-invariant abelian subgroups, infinite groups with the condition of normality for all decomposable abelian subgroups and others belong to the class of \(md\)-groups. The complete description of infinite locally finite and locally soluble non-periodic \(md\)-groups is given, the connection of the class of \(md\)-groups with other classes of groups are investigated. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/906 |
| work_keys_str_mv |
AT lymanfn ongroupswiththeminimalconditionfornoninvariantdecomposableabeliansubgroups AT drushlyakmg ongroupswiththeminimalconditionfornoninvariantdecomposableabeliansubgroups |
| first_indexed |
2024-04-12T06:25:28Z |
| last_indexed |
2024-04-12T06:25:28Z |
| _version_ |
1796109240690016256 |