Cyclic subgroup commutativity degrees of finite groups

被引：4
|
作者：
Tarnauceanu, Marius [1 ]
Lazorec, Mihai-Silviu [1 ]
机构：
[1] Alexandru Ioan Cuza Univ, Fac Math, Bd Carol I 11, Iasi, Romania
来源：
RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA | 2018年 / 139卷
关键词：
Cyclic subgroup commutativity degree; subgroup commutativity degree; poset of cyclic subgroups; subgroup lattice; PROBABILITY; ELEMENTS; COMMUTE;
D O I：
10.4171/RSMUP/139-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we introduce and study the concept of cyclic subgroup commutativity degree of a finite group G. This quantity measures the probability of two random cyclic subgroups of G commuting. Explicit formulas are obtained for some particular classes of groups. A criterion for a finite group to be an Iwasawa group is also presented.
引用
收藏
页码：225 / 240
页数：16
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