Some Sufficient Conditions of a Solvable Group  

作　　者：WANG Li-fang ZHANG Qin-hai 

机构地区：[1]Department of Computer and Mathematics, Shanxi Teacher＇s University, Linfen 041004, China

出　　处：《Chinese Quarterly Journal of Mathematics》2006年第3期351-357,共7页数学季刊（英文版）

基　　金：Supported by the NSF of China(10471085) Supported by the Shanxi Province(20051007) Supported by the Returned Chinese Students Found of Shanxi Province(Jinliuguanban [2004]7)

摘　　要：A subgroup H of a group G is called semipermutable if it is permutable with every subgroup K of G with （｜H｜, ｜K｜） = 1, and s-semipermutable if it is permutable with every Sylow p-subgroup of G with （p, ｜H｜） = 1. In this paper, some sufficient conditions for a group to be solvable are obtained in terms of s-semipermutability.

关 键 词：a solvable group a s-semipermutable subgroup a semipermutable subgroup 

分 类 号：O152[理学—数学]