摘要
本文对“只有两个极大子群共轭类的群的素因子个数≤2”这一结论,作了进一步的讨论,使其结果进一步深化,从而得出以下结论:只有两个极大子群共轭类的非Abel群,若Φ(G)=1,则G的Sylow-q子群为正规的初等Abel群,Sylow-P子群循环,且q^b≡1(modp)。
In according with the conclusion made by Mr. Xu Mingyao that' the number of the prime divisors in the conjugate class groups of the unique two maximal subgroups is≤2',author of this paper discusses and deepens it so further that she herself reaches the following conclusion:There is a non-abel subgroup in the conjugate classes of the two maximal ones. IfΦ(G)=1, the Sylow-q subgroup of G is a regular, elementary Abel group, and a Sylow-p subgroup circulation, furthermore qb = 1 (modp).
出处
《东莞理工学院学报》
1994年第2期50-51,共2页
Journal of Dongguan University of Technology
关键词
共轭类
极大子群
素因子
ABEL群
正规
个数
结论
深化
循环
The conjugate classes of the maximal subgroup
Abel group
Regular subgroup
Circulating group
