具有4p^3阶自同构群的有限幂零群

Finite Nilpotent Groups with Automorphism Group of Order 4p^3

通过有限群的自同构群的阶来研究该有限群,得出满足一些给定条件的有限群G的结构.文中假设G幂零时给出满足方程|Aut(G)|=4p^3(P为奇素数)的G的构造。

Finite group G is researched on the order of its automorphism group. Through some given conditions, we get the structure of G. In this paper, if G is nilpotent, we get the structure of G, which satisfies the equation ｜ Aut（G） ｜ = 4p^3 , where p is odd prime number.