Groups, in which almost all subgroups are near to normal
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Groups, in which almost all subgroups are near to normal
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| Creator |
Semko, M.M.
Kuchmenko, S.M. |
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| 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. |
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| Date |
2019-06-18T13:31:35Z
2019-06-18T13:31:35Z 2004 |
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| Type |
Article
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| Identifier |
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 http://dspace.nbuv.gov.ua/handle/123456789/156421 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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