RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Tr. Inst. Mat.: Year: Volume: Issue: Page: Find

 Tr. Inst. Mat., 2008, Volume 16, Number 1, Pages 100–105 (Mi timb63)

On $X$-$s$-permutable subgroups of finite groups

Lei Shiab, Guo Wenbinab, Yi Xiaolanab

a Francisk Skorina Gomel State University
b Xuzhou Normal University

Abstract: Let $X$ be a nonempty subset of a group $G$. A subgroup $H$ of $G$ is said to be $X$-$s$-permutable in $G$ if for every Sylow subgroup $T$ of $G$, there exists an element $x\in X$ such that $HT^x=T^xH$. In this paper we obtain some results on $X$-$s$-permutable subgroups and use them to determine the structure of some finite groups.

Full text: PDF file (226 kB)
References: PDF file   HTML file
UDC: 512.542
Language:

Citation: Lei Shi, Guo Wenbin, Yi Xiaolan, “On $X$-$s$-permutable subgroups of finite groups”, Tr. Inst. Mat., 16:1 (2008), 100–105

Citation in format AMSBIB
\Bibitem{ShiGuoXia08} \by Lei~Shi, Guo~Wenbin, Yi~Xiaolan \paper On $X$-$s$-permutable subgroups of finite groups \jour Tr. Inst. Mat. \yr 2008 \vol 16 \issue 1 \pages 100--105 \mathnet{http://mi.mathnet.ru/timb63}