Author:
AL-SHOMRANI M. M., ,EZZAT MOHAMED M.,
Abstract
Let G be a finite group. A subgroup of G is called S-quasinormal in G if it permutes with each Sylow subgroup of G. In this paper, we investigate the structure of the finite group G when certain abelian subgroups of largest possible exponent of prime power orders are S-quasinormal in G.
Subject
Applied Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis
Reference15 articles.
1. [1] R.K. Agrawal, Generalized center and hypercenter of a finite group. Proc. Amer. Math. Soc. 54 (1976), 13-21.
2. [2] M.M. AL-Shomrani and M. Ezzat Mohamed, Finite groups in which some abelian subgroups are quasinormal. JP J. Algebra, Number Theory Appl. 19 (2010), 2, 175-183.
3. [3] M. Asaad, On p-nilpotence of finite groups. J. Algebra 277 (2004), 157-164.
4. [4] M. Asaad and M. Ezzat Mohamed, On generalized hypercenter of a finite group. Comm. Algebra 29 (2001), 5, 2239-2248.
5. [5] M. Asaad, A.A. Heliel, and M. Ezzat Mohamed, Finite groups with some subgroups of prime power order S-quasinormally embedded. Comm. Algebra 32 (2004), 5, 2019-2027.