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Characterization of finite groups with some S-quasinormal subgroups of fixed order

Let G be a finite group. A subgroup of G is said to be S-quasinormal in G if it permutes with every Sylow subgroup of G. We fix in every non-cyclic Sylow subgroup P of the generalized Fitting subgroup a subgroup D such that 1 < |D| < |P| and characterize G under the assumption that all subgrou...

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Main Author:	Asaad, M.
Format:	Article
Language:	English
Published:	Інститут прикладної математики і механіки НАН України 2012
Series:	Algebra and Discrete Mathematics
Online Access:	http://dspace.nbuv.gov.ua/handle/123456789/152229
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id	irk-123456789-152229
record_format	dspace
spelling	irk-123456789-1522292019-06-10T01:26:11Z Characterization of finite groups with some S-quasinormal subgroups of fixed order Asaad, M. Let G be a finite group. A subgroup of G is said to be S-quasinormal in G if it permutes with every Sylow subgroup of G. We fix in every non-cyclic Sylow subgroup P of the generalized Fitting subgroup a subgroup D such that 1 < \|D\| < \|P\| and characterize G under the assumption that all subgroups H of P with \|H\| = \|D\| are S-quasinormal in G. Some recent results are generalized. 2012 Article Characterization of finite groups with some S-quasinormal subgroups of fixed order / M. Asaad, P. Csorgo // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 2. — С. 161–167. — Бібліогр.: 11 назв. — англ. 1726-3255 2000 MSC:20D10, 20D30. http://dspace.nbuv.gov.ua/handle/123456789/152229 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	Let G be a finite group. A subgroup of G is said to be S-quasinormal in G if it permutes with every Sylow subgroup of G. We fix in every non-cyclic Sylow subgroup P of the generalized Fitting subgroup a subgroup D such that 1 < \|D\| < \|P\| and characterize G under the assumption that all subgroups H of P with \|H\| = \|D\| are S-quasinormal in G. Some recent results are generalized.
format	Article
author	Asaad, M.
spellingShingle	Asaad, M. Characterization of finite groups with some S-quasinormal subgroups of fixed order Algebra and Discrete Mathematics
author_facet	Asaad, M.
author_sort	Asaad, M.
title	Characterization of finite groups with some S-quasinormal subgroups of fixed order
title_short	Characterization of finite groups with some S-quasinormal subgroups of fixed order
title_full	Characterization of finite groups with some S-quasinormal subgroups of fixed order
title_fullStr	Characterization of finite groups with some S-quasinormal subgroups of fixed order
title_full_unstemmed	Characterization of finite groups with some S-quasinormal subgroups of fixed order
title_sort	characterization of finite groups with some s-quasinormal subgroups of fixed order
publisher	Інститут прикладної математики і механіки НАН України
publishDate	2012
url	http://dspace.nbuv.gov.ua/handle/123456789/152229
citation_txt	Characterization of finite groups with some S-quasinormal subgroups of fixed order / M. Asaad, P. Csorgo // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 2. — С. 161–167. — Бібліогр.: 11 назв. — англ.
series	Algebra and Discrete Mathematics
work_keys_str_mv	AT asaadm characterizationoffinitegroupswithsomesquasinormalsubgroupsoffixedorder
first_indexed	2023-05-20T17:37:48Z
last_indexed	2023-05-20T17:37:48Z
_version_	1796153728535887872

Characterization of finite groups with some S-quasinormal subgroups of fixed order

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