摘要
群G的一个子群H称为在G中S 正规的,如果存在G的一个次正规子群K,使得G=HK且H∩K G.该文利用π Hall子群和二极大子群的S 正规性给出了一个群为可解群的若干充分条件.
A subgroup H of a group G is said to be S-normal in G if there exists a subnormal subgroup K of G such that G=HK and HK is wubnormal in G. In this paper, the anthors give some sufficient conditions under which a group G is a soluble grouop by using S-normality of π-Hall subgroups, Sylow subgroups of odd order and second maximal subgroups of G.
出处
《淮阴师范学院学报(自然科学版)》
CAS
2004年第1期8-10,共3页
Journal of Huaiyin Teachers College;Natural Science Edition
关键词
有限群
S-正规
可解群
π—Hall子群
finite groups
S-normal subgroups
soluble groups
π-Hall subgroups