Maximal subset of pairwise non-commuting elements of finite minimal non-Abelian groups

2014/05/19 by S. Fouladi, R. Orfi, Fouladi, S. +4
Engineering · Mathematics · #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Rings, Modules, and Algebras #graph theory and CDMA systems #math.GR

paper · pdf · doi:10.48550/arxiv.1405.4686

5 pages

arxiv created 2014/05/19 · openalex publication_date 2014/05/19 · arxiv updated 2014/05/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Let G be a group. A subset X of G is a set of pairwise non-commuting elements if xy is not equal to yx for any two distinct elements x and y in X. If |X|>=|Y| for any other set of pairwise non-commuting elements Y in G, then X is said to be a maximal subset of pairwise non-commuting elements. In this paper we determine the cardinality of a maximal subset of pairwise non-commuting elements for finite minimal non-abelian groups.

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