Maximal subsets of pairwise non-commuting elements of p-groups of order less than p^6

Let G be a non-abelian group of order p^n , where n ≤ 5 in whichG is not extra special of order p^5 . In this paper we determine the maximalsize of subsets X of G with the property that xy is not equal to yx for any distinct x, y in X.

Bibliographic Details
Main Author: reza orfi
Format: Article
Language:English
Published: University of Isfahan 2014-03-01
Series:International Journal of Group Theory
Subjects:
Online Access:http://www.theoryofgroups.ir/?_action=showPDF&article=3511&_ob=4929283f277e00c3ce2dd11ff44df080&fileName=full_text.pdf.