Lower Bounds on the Number of Cyclic Subgroups in Finite Non-Cyclic Nilpotent Groups

被引：0
|
作者：
Meng, Wei [1 ]
Lu, Jiakuan [2 ]
机构：
[1] Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Peoples R China
[2] Guangxi Normal Univ, Sch Math & Stat, Guilin 541004, Peoples R China
来源：
JOURNAL OF MATHEMATICAL STUDY | 2023年 / 56卷 / 01期
关键词：
p-groups; cyclic subgroups; Nilpotent groups;
D O I：
10.4208/jms.v56n1.23.03
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G be a finite group and c(G) denote the number of cyclic subgroups of G. It is known that the minimal value of c on the set of groups of order n, where n is a positive integer, will occur at the cyclic group Z(n). In this paper, for non-cyclic nilpotent groups G of order n, the lower bounds of c(G) are established.
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页码：93 / 102
页数：10
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