|A(G)|=2p^n,2~2p^n,2~3p^n的有限Abel群

FINITE ABELIAN GROUPS WITH AN AUTOMORPHISM GROUP OF ORDER 2p^n, 2~2p^n, 2

本文是[1]、[2]的继续,利用群G的自同构群A(G)来刻划群G的构造,给出了|A(G)|=2p^n,2~2p^n,2~3p^n的有限Abel群G的全部类型。

This paper disscusses the types of finite Abelian groups G with |A(G)|=2p^n, 2~2p^n, 2~3p^n.