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ON SS-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS AND THEIR PROPERTIES

Published online by Cambridge University Press:  30 March 2012

XIUYUN GUO  and
JIAKUAN LU
XIUYUN GUO
Affiliation:
Department of Mathematics, Shanghai University, Shanghai 200444, P.R. China e-mail: xyguo@shu.edu.cn
JIAKUAN LU
Affiliation:
Department of Mathematics, Guangxi Normal University, Guilin 541004, Guangxi, P.R. China
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Abstract

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A subgroup H of a finite group G is called SS-supplemented in G if there exists a subgroup K of G such that HK = G and H ∩ K is S-quasinormal in K. In this paper, we characterize the finite groups in which every subgroup is SS-supplemented and the influence of SS-supplementation of some subgroups on the structure of finite groups is considered. Some recent results on SS-quasinormal subgroups and C-supplemented subgroups are strengthened and enriched.

Keywords

20D1020D20
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 54 , Issue 3 , September 2012 , pp. 481 - 491
Copyright
Copyright © Glasgow Mathematical Journal Trust 2012

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