Groups, in which almost all subgroups are near to normal
A subgroup H of a group G is said to be nearly normal, if H has a finite index in its normal closure. These subgroups have been introduced by B.H. Neumann. In a present paper is studied the groups whose non polycyclic by finite subgroups are nearly normal. It is not hard to show that under some n...
Збережено в:
| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2004 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2004
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/156421 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Groups, in which almost all subgroups are near to normal / M.M. Semko, S.M. Kuchmenko // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 2. — С. 92–113. — Бібліогр.: 20 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-156421 |
|---|---|
| record_format |
dspace |
| spelling |
Semko, M.M. Kuchmenko, S.M. 2019-06-18T13:31:35Z 2019-06-18T13:31:35Z 2004 Groups, in which almost all subgroups are near to normal / M.M. Semko, S.M. Kuchmenko // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 2. — С. 92–113. — Бібліогр.: 20 назв. — англ. 1726-3255 https://nasplib.isofts.kiev.ua/handle/123456789/156421 A subgroup H of a group G is said to be nearly normal, if H has a finite index in its normal closure. These subgroups have been introduced by B.H. Neumann. In a present paper is studied the groups whose non polycyclic by finite subgroups are nearly normal. It is not hard to show that under some natural restrictions these groups either have a finite derived subgroup or belong to the class S₁F (the class of soluble by finite minimax groups). More precisely, this paper is dedicated of the study of S₁F groups whose non polycyclic by finite subgroups are nearly normal. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Groups, in which almost all subgroups are near to normal Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Groups, in which almost all subgroups are near to normal |
| spellingShingle |
Groups, in which almost all subgroups are near to normal Semko, M.M. Kuchmenko, S.M. |
| title_short |
Groups, in which almost all subgroups are near to normal |
| title_full |
Groups, in which almost all subgroups are near to normal |
| title_fullStr |
Groups, in which almost all subgroups are near to normal |
| title_full_unstemmed |
Groups, in which almost all subgroups are near to normal |
| title_sort |
groups, in which almost all subgroups are near to normal |
| author |
Semko, M.M. Kuchmenko, S.M. |
| author_facet |
Semko, M.M. Kuchmenko, S.M. |
| publishDate |
2004 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
A subgroup H of a group G is said to be nearly
normal, if H has a finite index in its normal closure. These subgroups have been introduced by B.H. Neumann. In a present paper
is studied the groups whose non polycyclic by finite subgroups are
nearly normal. It is not hard to show that under some natural
restrictions these groups either have a finite derived subgroup or
belong to the class S₁F (the class of soluble by finite minimax
groups). More precisely, this paper is dedicated of the study of
S₁F groups whose non polycyclic by finite subgroups are nearly
normal.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/156421 |
| citation_txt |
Groups, in which almost all subgroups are near to normal / M.M. Semko, S.M. Kuchmenko // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 2. — С. 92–113. — Бібліогр.: 20 назв. — англ. |
| work_keys_str_mv |
AT semkomm groupsinwhichalmostallsubgroupsareneartonormal AT kuchmenkosm groupsinwhichalmostallsubgroupsareneartonormal |
| first_indexed |
2025-12-07T13:27:19Z |
| last_indexed |
2025-12-07T13:27:19Z |
| _version_ |
1850856219515813888 |