关于交错群A_5的子群

On the subgroups of A_5

给出了交错群A5的一般子群及Sylow p-子群,并且对其子群的自正规性,自中心化,及子群的可解性与幂零性等群论性质进行了讨论.

This paper lists the subgroups and Sylow p-subgroups of A5,in additional,and analyzes the subgroups’ some group-theoretic properties,such as self-centralizing,self-normalizing,solubility and nilpotency etc..