Volume no :1, Issue no: 3, December 2008

FINITE GROUPS WITH PERMUTABLY EMBEDDED SUBGROUPS

Author's: Sheng Chen, Nanying Yang and Jianhong Huang
Pages: [623] - [633]
Received Date: November 7, 2008
Submitted by:

Abstract

A subgroup H of a group G is said to be s-c-permutably embedded in G if for each prime every Sylow p-subgroup of H is a Sylow p-subgroup of some s-conditionally permutable subgroups of G. In this paper, we obtain some results about the s-c-permutably embedded subgroups and use them to determine the structure of some groups.

Keywords

s-c-permutably embedded subgroups, Sylow subgroups, permutable subgroups, supersoluble groups.