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ON WEAKLY $S$-PERMUTABLY EMBEDDED SUBGROUPS OF FINITE GROUPS

Part of: Representation theory of groups

Published online by Cambridge University Press:  21 July 2016

HAORAN YU
HAORAN YU*
Affiliation:
School of Mathematics, Peking University, Beijing 100871, China email sylowtheorem@pku.edu.cn
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Abstract

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In this paper, we obtain some criteria for $p$-nilpotency and $p$-supersolvability of a finite group and extend some known results concerning weakly $S$-permutably embedded subgroups. In particular, we generalise the main results of Zhang et al. [‘Sylow normalizers and $p$-nilpotence of finite groups’, Comm. Algebra43(3) (2015), 1354–1363].

Keywords

p-nilpotencyp-supersolvabilityweakly S-permutably embedded subgroups

MSC classification

Primary: 20D10: Solvable groups, theory of formations, Schunck classes, Fitting classes, $pi$-length, ranks

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 94 , Issue 3 , December 2016 , pp. 437 - 448
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

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