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 t...
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2004 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2004
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/156421 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862622499489972224 |
|---|---|
| author | Semko, M.M. Kuchmenko, S.M. |
| author_facet | Semko, M.M. Kuchmenko, S.M. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-07T13:27:19Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156421 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T13:27:19Z |
| publishDate | 2004 |
| publisher | Інститут прикладної математики і механіки НАН України |
| 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 |
| spellingShingle | Groups, in which almost all subgroups are near to normal Semko, M.M. Kuchmenko, S.M. |
| title | 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_short | Groups, in which almost all subgroups are near to normal |
| title_sort | groups, in which almost all subgroups are near to normal |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156421 |
| work_keys_str_mv | AT semkomm groupsinwhichalmostallsubgroupsareneartonormal AT kuchmenkosm groupsinwhichalmostallsubgroupsareneartonormal |