Relative cyclic subgroup commutativity degrees of finite groups

2018/03/03 by Mihai-Silviu Lazorec, Lazorec, Mihai-Silviu
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #math.GR

paper · pdf · doi:10.48550/arxiv.1803.01149

14 pages

arxiv created 2018/03/19 · arxiv updated 2018/03/21

Abstract

In this paper we introduce and study the relative cyclic subgroup commutativity degrees of a finite group. We show that there is a finite group with n such degrees for all n ∈ ℕ^*∖ \lbrace 2\rbrace and we indicate some classes of finite groups with few relative cyclic subgroup commutativity degrees. Using this new concept, we are able to show that the set containing all cyclic subgroup commutativity degrees of finite groups is not dense in [0, 1].

Related

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• Finite groups with five relative commutativity degrees
• A note on subgroup commutativity degrees of finite groups
• Commutativity degree, its generalizations, and classification of finite groups
• Cyclic subgroup commutativity degrees of finite groups