On the Conjugacy Classes of Cyclic Non-normal Subgroups

被引：0

作者：

Mousavi, Hamid ^{[1
]}

机构：

[1] Univ Tabriz, Fac Math Sci, Dept Pure Math, Tabriz, Iran

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2022年 / 48卷 / 01期

关键词：

Non-normal subgroups; Conjugacy class of non-normal subgroups; FINITE P-GROUPS;

D O I：

10.1007/s41980-020-00502-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite p-group. Assume that nu(G) and nu(c)(G) denote the number of conjugacy classes of non-normal subgroups and non-normal cyclic subgroups of G, respectively. In this paper, we completely classify the finite p-groups with nu(c) = p or p + 1 for an odd prime number p. Also, we classify the groups G with nu(G) = nu(c)(G) = p(i), i >= 1.

引用

页码：73 / 92

页数：20

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