Cyclic subgroup commutativity degrees of finite groups
Group Theory
2016-09-05 v1
Abstract
In this paper we introduce and study the concept of cyclic subgroup commutativity degree of a finite group . This quantity measures the probability of two random cyclic subgroups of 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.
Cite
@article{arxiv.1609.00476,
title = {Cyclic subgroup commutativity degrees of finite groups},
author = {Marius Tarnauceanu and Mihai-Silviu Lazorec},
journal= {arXiv preprint arXiv:1609.00476},
year = {2016}
}
Comments
18 pages