同阶子群个数之集为{1,3,p+1}的有限群

Finite Groups Whose Set of Numbers of Subgroups of Possible Order is{1,3,p+1}

设G是有限群,n(G)表示同阶子群个数组成的集合.本文刻画了n(G)={1,3,p+1}时有限群G的结构,其中p为奇素数.

Let G be a finite group,and n(G)denotes the set of the number of subgroups of possible order of G.In this paper,authors characterize the structure of finite groups with n(G)={1,3,p+1},where p is an odd prime.