Maximal subset of pairwise non-commuting elements of finite minimal non-Abelian groups
Group Theory
2014-05-20 v1
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.
Cite
@article{arxiv.1405.4686,
title = {Maximal subset of pairwise non-commuting elements of finite minimal non-Abelian groups},
author = {S. Fouladi and R. Orfi and A. Azad},
journal= {arXiv preprint arXiv:1405.4686},
year = {2014}
}
Comments
5 pages