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ISRN Algebra
Volume 2011 (2011), Article ID 851495, 8 pages
doi:10.5402/2011/851495
Research Article
Finite Groups Whose Certain Subgroups of Prime Power Order Are -Semipermutable
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 8o111, Jeddah 21589, Saudi Arabia
Received 17 July 2011; Accepted 3 August 2011
Academic Editor: A. Kiliçman
Copyright © 2011 Mustafa Obaid. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Let be a finite group. A subgroup of is said to be S-semipermutable in if permutes with every Sylow -subgroup of with . In this paper, we study the influence of S-permutability property of certain abelian subgroups of prime power order of a finite group on its structure.