Volume no :4, Issue no: 1, January 2010

Journal of Mathematical Sciences: Advances and Applications

COMPLETELY CONDITIONALLY PERMUTABLE SUBGROUP AND SUPERSOLUBILITY OF FINITE GROUPS

Author's: Zhang Xuemei and Liu Xi
Pages: [51] - [59]
Received Date: July 8, 2009; Revised August 2, 2009
Submitted by:

Abstract

In this paper, we research p-supersolubility of finite groups. We determine the structure of some groups by using the completely conditionally permutable subgroups. We obtain some sufficient or necessary and sufficient conditions of a finite group is p-supersolvable.

Keywords

completely conditionally permutable, maximal subgroup, p-supersolvable.