摘要
设有限群 G可解 ,G/N超可解 ,若 N还满足下列条件之一 ,则 G超可解 :( 1 ) N的极大子群在 G中弱拟正规 ;( 2 ) N =G,且 N的 Sylow子群的正规化子的极大子群在 G中弱拟正规 ;( 3) N的 Sylow子群的极大子群在 G中弱拟正规 ;( 4) N的 Sylow子群的循环子群在
Let G be solvable and G/N be supersolvable.If N satisfies one of the following conditions,then G is supersolvable.(1) All maximal subgroups of N are weakly quasinormal in G;(2) N=G and all maximal subgroups of N G(P) are weakly quasinormal in G, for every Sylow subgroup P of N; (3) all maximal subgroups of Sylow subgroups of N are weakly quasinormal in G;(4) all cyclic subgroups of Sylow subgroups of N are weakly quasinormal in G.
出处
《广西大学学报（自然科学版）》
CAS
CSCD
2001年第2期137-139,共3页
Journal of Guangxi University（Natural Science Edition）
关键词
有限群
子群
可解群
超可解群
finite group
subgroup
solvable group
supersolvable group
