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arXiv · 1609.00476

Cyclic subgroup commutativity degrees of finite groups

Marius Tarnauceanu·Mihai-Silviu Lazorec
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Abstract

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.

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Marius Tarnauceanu, Mihai-Silviu Lazorec. 2016-09-02. Cyclic subgroup commutativity degrees of finite groups. https://arxiv.org/abs/1609.00476

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