Finite p-Groups in Which the Number of Subgroups of Possible Order Is Less Than or Equal to p3

被引：11
|
作者：
Qu, Haipeng [1 ]
Sun, Ying [1 ]
Zhang, Qinhai [1 ]
机构：
[1] Shanxi Normal Univ, Dept Math, Linfen 041004, Shanxi, Peoples R China
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2010年 / 31卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Inner abelian p-groups; Metacyclic p-groups; Groups of order p(n) with a cyclic subgroup of index p(2); The number of subgroups;
D O I：
10.1007/s11401-010-0590-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, groups of order p(n) in which the number of subgroups of possible order is less than or equal to p(3) are classified. It turns out that if p > 2, n >= 5, then the classification of groups of order p(n) in which the number of subgroups of possible order is less than or equal to p(3) and the classification of groups of order p(n) with a cyclic subgroup of index p(2) are the same.
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页码：497 / 506
页数：10
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