S-semiembedded subgroups of finite groups

doi:10.1007/s11464-015-0465-z

Frontiers of Mathematics in China

2015, Vol. 10

Issue (6): 1401-1413 https://doi.org/10.1007/s11464-015-0465-z

本期目录

S-semiembedded subgroups of finite groups

Yuemei MAO^1,²,Abid MAHBOOB¹,Wenbin GUO^1,^*(

)

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

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Abstract：

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≤Hs¯G, where Hs¯G 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.

Key words： s-Permutable subgroup s-semipermutable subgroup supersoluble group S-semiembedded subgroup p-nilpotent group

收稿日期: 2014-03-02 出版日期: 2015-10-12

Corresponding Author(s): Wenbin GUO

引用本文:

. [J]. Frontiers of Mathematics in China, 2015, 10(6): 1401-1413.
Yuemei MAO,Abid MAHBOOB,Wenbin GUO. S-semiembedded subgroups of finite groups. Front. Math. China, 2015, 10(6): 1401-1413.

链接本文:

https://academic.hep.com.cn/fmc/CN/10.1007/s11464-015-0465-z
https://academic.hep.com.cn/fmc/CN/Y2015/V10/I6/1401

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