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 $2$-group and in any finite non-abelian $p$-group with an abelian maximal subgroup.
Fouladi, S. (2014). Pairwise non-commuting elements in finite metacyclic $2$-groups and some finite $p$-groups. Bulletin of the Iranian Mathematical Society, 40(6), 1573-1585.
MLA
Fouladi, S. "Pairwise non-commuting elements in finite metacyclic $2$-groups and some finite $p$-groups", Bulletin of the Iranian Mathematical Society, 40, 6, 2014, 1573-1585.
HARVARD
Fouladi S. (2014). 'Pairwise non-commuting elements in finite metacyclic $2$-groups and some finite $p$-groups', Bulletin of the Iranian Mathematical Society, 40(6), pp. 1573-1585.
CHICAGO
S. Fouladi, "Pairwise non-commuting elements in finite metacyclic $2$-groups and some finite $p$-groups," Bulletin of the Iranian Mathematical Society, 40 6 (2014): 1573-1585,
VANCOUVER
Fouladi S. Pairwise non-commuting elements in finite metacyclic $2$-groups and some finite $p$-groups. BIMS. 2014;40(6):1573-1585.
