摘要
设 N是有限可解群 G的正规子群 ,使得 G/ N超可解 .若 F( N )的极小子群在 G中 C正规 ,且以下条件之一被满足 ,则 G超可解 :( 1 ) F( N)的 4阶循环子群在 G中 C 正规 ;( 2 ) G中不含 D2 q型子群 .
Assume that G is a finite solvable group with a normal subgroup N such that G/N is supersolvable. If all minimal subgroups of F(N) are C normal in G and one of the following conditions is satisfied, then G is supersolvable:(1) all cyclic subgroups with order 4 of F(N) are C normal in G; (2) G is relevance free to D 2q .
出处
《广西大学学报（自然科学版）》
CAS
CSCD
2000年第3期191-193,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
