,Finite p-Groups Whose Number of Subgroups of Each Order Is at most p4

• 作 者: Lifang Wang
• 机 构: Mathematics Department, Shanxi Normal University, Linfen, Shanxi 041004, China
• 出 处: 代数集刊（英文版）
• 发表日期: 2019年3期
• 关键词: finite p-groups enumeration of subgroups type of regular p-groups

Assume G is a group of order pn,where p is an odd prime.Let sk(G) denote the number of subgroups of order pk of G.We give a criterion for a p-group to be with sk(G) ≤ p4 for each integer k satisfying 1 ≤ k ≤ n.Moreover,such p-groups are classified.