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A generalization of groups with many almost normal subgroups

A subgroup H of a group G is called almost normal in G if it has finitely many conjugates in G. A classic result of B. H. Neumann informs us that |G:Z(G)| is finite if and only if each H is almost normal in G. Starting from this result, we investigate the structure of a group in which each non-finit...

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Main Author:	Russo, F.G.
Format:	Article
Language:	English
Published:	Інститут прикладної математики і механіки НАН України 2010
Series:	Algebra and Discrete Mathematics
Online Access:	http://dspace.nbuv.gov.ua/handle/123456789/154600
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id	irk-123456789-154600
record_format	dspace
spelling	irk-123456789-1546002019-06-16T01:32:15Z A generalization of groups with many almost normal subgroups Russo, F.G. A subgroup H of a group G is called almost normal in G if it has finitely many conjugates in G. A classic result of B. H. Neumann informs us that \|G:Z(G)\| is finite if and only if each H is almost normal in G. Starting from this result, we investigate the structure of a group in which each non-finitely generated subgroup satisfies a property, which is weaker to be almost normal 2010 Article A generalization of groups with many almost normal subgroups / F.G. Russo // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 1. — С. 79–85. — Бібліогр.: 21 назв. — англ. 1726-3255 2010 Mathematics Subject Classification:20C07; 20D10; 20F24. http://dspace.nbuv.gov.ua/handle/123456789/154600 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України
institution	Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection	DSpace DC
language	English
description	A subgroup H of a group G is called almost normal in G if it has finitely many conjugates in G. A classic result of B. H. Neumann informs us that \|G:Z(G)\| is finite if and only if each H is almost normal in G. Starting from this result, we investigate the structure of a group in which each non-finitely generated subgroup satisfies a property, which is weaker to be almost normal
format	Article
author	Russo, F.G.
spellingShingle	Russo, F.G. A generalization of groups with many almost normal subgroups Algebra and Discrete Mathematics
author_facet	Russo, F.G.
author_sort	Russo, F.G.
title	A generalization of groups with many almost normal subgroups
title_short	A generalization of groups with many almost normal subgroups
title_full	A generalization of groups with many almost normal subgroups
title_fullStr	A generalization of groups with many almost normal subgroups
title_full_unstemmed	A generalization of groups with many almost normal subgroups
title_sort	generalization of groups with many almost normal subgroups
publisher	Інститут прикладної математики і механіки НАН України
publishDate	2010
url	http://dspace.nbuv.gov.ua/handle/123456789/154600
citation_txt	A generalization of groups with many almost normal subgroups / F.G. Russo // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 1. — С. 79–85. — Бібліогр.: 21 назв. — англ.
series	Algebra and Discrete Mathematics
work_keys_str_mv	AT russofg ageneralizationofgroupswithmanyalmostnormalsubgroups AT russofg generalizationofgroupswithmanyalmostnormalsubgroups
first_indexed	2023-05-20T17:44:57Z
last_indexed	2023-05-20T17:44:57Z
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A generalization of groups with many almost normal subgroups

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