Maximum size of subsets of pairwise non-commuting elements in finite metacyclic p-groups

Authors

  • Shirin Fouladi
  • Reza Orfi

Keywords:

Metacyclic p-group, Covering, Pairwise non-commuting elements

Abstract

Let G be a finite group. A subset X of G is a set of pairwise non-commuting elements if any two distinct elements of X do not commute. In this paper we determine the maximum size of these subsets in any finite non-abelian metacyclic p-group for an odd prime p. DOI: 10.1017/S0004972712000111

Published

2012-12-17

Issue

Vol. 87 No. 1 (2013)

Section

Articles
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