S-semiembedded subgroups of finite groups  

作　　者：Yuemei MAO Abid MAHBOOB Wenbin GUO 

机构地区：[1]School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China [2]School of Mathematics and Computer, University of Datong, Datong 037009, China

出　　处：《Frontiers of Mathematics in China》2015年第6期1401-1413,共13页中国高等学校学术文摘·数学（英文）

基　　金：Acknowledgements This work was supported by the National Natural Science Foundation of China （Grant No. 11371335） and the Specialized Research Fund for the Doctoral Program of Higher Education of China （Grant #20113402110036）.

摘　　要：A subgroup H of a finite group G is said to be s-semipermutable in G if it is permutable with every Sylow p-subgroup of G with （p, ｜H｜） = 1. We say that a subgroup H of a finite group G is S-semiembedded in G if there exists an s-permutable subgroup T of G such that TH is s-permutable in G and T ∩ H ≤ H-sG, where HsG is an s-semipermutable subgroup of G contained in H. In this paper, we investigate the influence of S-semiembedded subgroups on the structure of finite groups.A subgroup H of a finite group G is said to be s-semipermutable in G if it is permutable with every Sylow p-subgroup of G with （p, ｜H｜） = 1. We say that a subgroup H of a finite group G is S-semiembedded in G if there exists an s-permutable subgroup T of G such that TH is s-permutable in G and T ∩ H ≤ H-sG, where HsG is an s-semipermutable subgroup of G contained in H. In this paper, we investigate the influence of S-semiembedded subgroups on the structure of finite groups.

关 键 词：s-Permutable subgroup s-semipermutable subgroup supersoluble group S-semiembedded subgroup p-nilpotent group 

分 类 号：O152.1[理学—数学]