摘要
本文利用超可解群的性质,通过群的扩张理论,利用一种新的证明方法解决了2~3p~n(p=3,7)阶群当sylow-p子群为循环群时的构造.
In this paper,by using some properties in supersolvable groups and some theorems in extension of groups,we obtain the following theorem: Groups of order 2~3 ·p^n (p=3, 7) when its sylow p-subgroups are cyclic groups have 28 types.
出处
《数学杂志》
CSCD
2000年第1期111-116,共6页
Journal of Mathematics
基金
湖北省自然科学基金!(99J165)