六次交错群极大子群共轭分类的初等证明

A Proof of Conjugation Classification of Maximal Subgroups of A_6

极大子群在群论的结构研究中起着至关重要的作用,是群论工作者开展研究时关注的对象.而置换群中交错群是一类比较重要的单群,对于它的极大子群的研究和了解是群论工作者开展科研工作的基础.本文利用抽象群和置换群的基本理论和方法得到了交错群A_6极大子群的共轭分类.

The maximal subgroup plays an important role in the structure of a group,and thus attracts special attention of researchers working in group theory. Among important simple groups are the alternating groups whose maximal subgroups deserve careful study for understanding the whole group. In this paper,we use the basic facts and theories of permutation group to reprove the conjugation classification of maximal subgroups of the alternating group A_6.