四川师范大学学报（自然科学版）2004，Vol.27Issue(2)：124-127,4.
关于有限群的正规子群的补子群Ⅱ
On Complements of Normal Subgroups in Finite Groups Ⅱ
摘要
Abstract
In this paper, some more properties of the existence and conjugacy of complements of a normal subgroup K of a finite group G are studied. The main results are as follows. (1) Suppose that K is abelian and every Sylow subgrop S of K has a complement in a Sylow subgroup of G which contains S. Then: (i) K has a complement in G; (ii) If G has a Hall π- subgroup H with π = π(K), and all complements of K in H are conjugate in H, then all complements of K in G are conjugate in G. (2) Suppose that K is solvable and K is a direct factor of S for each S/K∈ Syl(G/K).Then: (i) K has a complement in G;(ii) If G has a Hall π-subgroup H with π = π(K), then all complements of K inG are conjugate in G ff and only if all complements of K in H are conjugate in H.关键词
有限群/正规子群/补子群Key words
Finite group/Normal subgroup/Complement分类
数理科学引用本文复制引用
王坤仁..关于有限群的正规子群的补子群Ⅱ[J].四川师范大学学报（自然科学版）,2004,27(2):124-127,4.基金项目
四川省学位委员会和四川省教育厅重点学科建设基金资助项目 （）
