Cyclic subgroup commutativity degrees of finite groups
Marius Tărnăuceanu
University “Al. I. Cuza”, Iasi, RomaniaMihai-Silviu Lazorec
University “Al. I. Cuza”, Iasi, Romania
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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. Acriterion for a finite group to be an Iwasawa group is also presented.
Cite this article
Marius Tărnăuceanu, Mihai-Silviu Lazorec, Cyclic subgroup commutativity degrees of finite groups. Rend. Sem. Mat. Univ. Padova 139 (2018), pp. 225–240
DOI 10.4171/RSMUP/139-9