Maximal subsets of pairwise non-commuting elements of p-groups of order less than p6

نویسندگان

1 NUI, Galway

2 National University of Ireland Galway

doi
10.22108/ijgt.2014.3511
چکیده

Let $G$ be a non-abelian group of order $p^n$‎, ‎where $n\leq 5$ in which $G$ is not extra special of order $p^5$‎. ‎In this paper we determine the maximal size of subsets $X$ of $G$‎ ‎with the property that $xy\neq yx$ for any $x,y$ in $X$ with‎ ‎$x\neq y$‎.