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.2014.3511چکیده
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 $x\neq y$.