commensurable subgroups

This paper gives all the nilpotent subgroups and solvable subgroups of symmetric group S5.

给出了S5的全部102个幂零子群和154个可解子群,其中幂零子群分为10个共轭类,可解子群分为17个共轭类,而且给出了每个子群的阶和一个最小生成元组。

The purpose of this paper is to generalize two supersolvability theorems obtained by LI De-yu and GUO Xiu-yun with respect to complemented subgroups of finite groups.

该文目的是推广由李德玉和郭秀云得到的有关可补子群的两个超可解性定理 。

The reducible subgroups of GL(2,p) with order coprime to the prime number.

对GL(2,p)的阶与p互素的可约子群的特征进行了讨论,给出了这类可约子群的具体结构,并且研究了由这些子群确定的一类Cayley图的性质。