Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 49, No. 1, pp. 227232 (2008) 

On some maximal $S$quasinormal subgroups of finite groupsK. AlSharoDepartment of Mathematics, Al alBayt University, JordanAbstract: A subgroup $H$ of a group $G$ is permutable subgroup of $G$ if for all subgroups $S$ of $G$ the following condition holds $SH=HS= <S,H>$. A subgroup $H$ is $S$quasinormal in G if it permutes with every Sylow subgroup of $G$. In this article we study the influence of $S$quasinormality of subgroups of some subgroups of $G $ on the supersolvability of $G.$ Full text of the article:
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