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

被引：1

作者：

Wang, Lifang ^{[1
]}

机构：

[1] Shanxi Normal Univ, Math Dept, Linfen 041004, Shanxi, Peoples R China

来源：

ALGEBRA COLLOQUIUM | 2019年 / 26卷 / 03期

关键词：

finite p-groups; enumeration of subgroups; type of regular p-groups;

D O I：

10.1142/S1005386719000300

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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

引用

页码：411 / 424

页数：14

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