On S-permutably embedded subgroups of finite groups |
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| Authors: | A Ballester-Bolinches Yangming Li |
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| Institution: | 1. Departament d’àlgebra, Universitat de València, Dr. Moliner, 50, Burjassot, 46100, València, Spain
2. Department of Mathematics, Guangdong University of Education, Guangzhou, 510310, People’s Republic of China
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| Abstract: | A subgroup $A$ of a finite group $G$ is said to be $S$ -permutably embedded in $G$ if for each prime $p$ dividing the order of $A$ , every Sylow $p$ -subgroup of $A$ is a Sylow $p$ -subgroup of some $S$ -permutable subgroup of $G$ . In this paper we determine how the $S$ -permutable embedding of several families of subgroups of a finite group influences its structure. |
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