【摘要】 群G的子群A称为在G中s-条件半置换的,如果A在G中存在一个补充T,使得对于T的任意Sylow子群T_p,都存在t∈T满足AT_p~t=T_p~tA.本文利用Sylow子群的极大子群的s-条件半置换性给出了一些群的性质和结构.更多还原

【Abstract】 A subgroup A of a group G is called s-conditionally semipermutable in G if A has a supplement T in G such that for every Sylow subgroup T_p of T,there exists an element t∈T satisfying AT_p~t=T_p~tA In this paper,we obtain some results about the s-conditionally semipermutaable subgroups and use them to determine the structures of finite groups.更多还原