摘要
两个正规可解子群的乘积可解,但两个(超)可解子群(幂零子群)的乘积不一定是(超)可解(幂零)的。本文引入半正规与S—半正规的概念。讨论了两个(超)可解(幂零)子群的乘积的(超)可解(幂零)性。本文提到的群均为有限群。
The product of two normal solvable subgroups is solvable, but the product of two (supersolvable) solvable (nilpotent) subgroups is not necessarily (supersolvable)solvable(nilpotent). In this paper, we introduce the definition about the problem men-tioned above, and obtain some new results on factorizable groups. The groups in the pa-per are finite throughout.
出处
《山东师范大学学报（自然科学版）》
CAS
1991年第4期17-20,44,共5页
Journal of Shandong Normal University(Natural Science)
关键词
可解群
超可解群
可分群
幂零群
solvable group
factorizable group
supersolvable group
nilpotent group
Sylow tower group
