On X-s-Permutable Subgroups of a Finite Group  

作　　者：Min Bang SU Yang Ming LI 

机构地区：[1]Department of Mathematics, Foshan University, Guangdong 528000, P. R. China [2]Department of Mathematics, Guangdong University of Education, Guangdong 510310, P. R. China

出　　处：《Journal of Mathematical Research and Exposition》2010年第5期876-882,共7页数学研究与评论（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No10871210);the Natural Science Foundation of Guangdong Province (Grant No06023728)

摘　　要：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 there exists an element x E X such that HP^x = P^xH for every Sylow subgroup P of G. In this paper, some new results are given under the assumption that some suited subgroups of G are X-s-permutable in G.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 there exists an element x E X such that HP^x = P^xH for every Sylow subgroup P of G. In this paper, some new results are given under the assumption that some suited subgroups of G are X-s-permutable in G.

关 键 词：finite group X-s-permutable subgroup the generalized Fitting subgroup formation. 

分 类 号：O152.1[理学—数学] O153[理学—基础数学]