Finite p-Groups Whose Number of Subgroups of Each Order Is at most p^4  

作　　者：Lifang Wang 

机构地区：[1]Mathematics Department,Shanxi Normal University,Lin fen,Shanxi 041004,China

出　　处：《Algebra Colloquium》2019年第3期411-424,共14页代数集刊（英文版）

摘　　要：Assume G is a group of order p^n,where p is an odd prime.Let sk(G)denote the number of subgroups of order p^k of G.We give a criterion for a p-group to be with sk(G)≤p^4 for each integer k satisfying 1≤k≤n.Moreover,such p-groups are classified.

关 键 词：finite P-GROUPS ENUMERATION of SUBGROUPS type of REGULAR P-GROUPS 

分 类 号：O15[理学—数学]