Cyclic subgroup commutativity degrees of finite groups

2016/09/02 by Tarnauceanu, Marius, Lazorec, Mihai-Silviu
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1609.00476

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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