Volume no :5, Issue no: 1, February (2011)

FINITE GROUPS WITH SOME SUBGROUPS OF SYLOW SUBGROUPS S-SUPPLEMENTED

Author's: Hongwei Bao and Long Miao
Pages: [61] - [70]
Received Date: August 10, 2010; Revised October 17, 2010
Submitted by:

Abstract

A subgroup H is called s-supplemented in G, if there exists a subgroup K of G such that and where is the largest subnormal subgroup of G contained in H. In this paper, we investigate the influence of s-supplemented primary subgroups in finite groups. Some new results about p-nilpotency of finite groups are obtained.

Keywords

soluble groups, Sylow subgroups, s-supplement, finite groups.