Volume no :2, Issue no: 2, December (2009)

X-S-SEMIPERMUTABLE SUBGROUPS OF FINITE GROUPS

Author's: Liping Hao, Yi Lu, Honggao Zhang and Wenbin Guo
Pages: [71] - [82]
Received Date: October 13, 2009
Submitted by:

Abstract

Let X be a non-empty subset of a group G. A subgroup A of G is said to be X-s-semipermutable in G, if A has a supplement T in G such that for every Sylow subgroup of T there exists an element such that In this paper, we use X-s-semipermutable subgroup to study the structures of some finite groups.

Keywords

finite groups, X-s-semipermutable subgroups, supersoluble groups.