Groups with small cocentralizers

Let G be a group. If S⊆G is a G-invariant subset of G, the factor-group G/CG(S) is called the cocentralizer of S in G. In this survey-paper we review some results dealing with the influence of several cocentralizers on the structure of the group, a direction of research to which Leonid A. Kurdachenk...

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Published in:Algebra and Discrete Mathematics
Date:2009
Main Authors: Javier Otal, Semko, N.N.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2009
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/154633
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Groups with small cocentralizers / Javier Otal, N.N. Semko // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 4. — С. 135–157. — Бібліогр.: 65 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-154633
record_format dspace
spelling Javier Otal
Semko, N.N.
2019-06-15T17:02:51Z
2019-06-15T17:02:51Z
2009
Groups with small cocentralizers / Javier Otal, N.N. Semko // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 4. — С. 135–157. — Бібліогр.: 65 назв. — англ.
1726-3255
2000 Mathematics Subject Classification:20F24, 20F17.
https://nasplib.isofts.kiev.ua/handle/123456789/154633
Let G be a group. If S⊆G is a G-invariant subset of G, the factor-group G/CG(S) is called the cocentralizer of S in G. In this survey-paper we review some results dealing with the influence of several cocentralizers on the structure of the group, a direction of research to which Leonid A. Kurdachenko was an active contributor, as well as many mathematicians all around the world.
Supported by Proyecto MTM2007-60994 of DGI del MEC (Spain).
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
Groups with small cocentralizers
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Groups with small cocentralizers
spellingShingle Groups with small cocentralizers
Javier Otal
Semko, N.N.
title_short Groups with small cocentralizers
title_full Groups with small cocentralizers
title_fullStr Groups with small cocentralizers
title_full_unstemmed Groups with small cocentralizers
title_sort groups with small cocentralizers
author Javier Otal
Semko, N.N.
author_facet Javier Otal
Semko, N.N.
publishDate 2009
language English
container_title Algebra and Discrete Mathematics
publisher Інститут прикладної математики і механіки НАН України
format Article
description Let G be a group. If S⊆G is a G-invariant subset of G, the factor-group G/CG(S) is called the cocentralizer of S in G. In this survey-paper we review some results dealing with the influence of several cocentralizers on the structure of the group, a direction of research to which Leonid A. Kurdachenko was an active contributor, as well as many mathematicians all around the world.
issn 1726-3255
url https://nasplib.isofts.kiev.ua/handle/123456789/154633
citation_txt Groups with small cocentralizers / Javier Otal, N.N. Semko // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 4. — С. 135–157. — Бібліогр.: 65 назв. — англ.
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