Year: 2016
Author: Yulei Wang, Heguo Liu
Communications in Mathematical Research , Vol. 32 (2016), Iss. 3 : pp. 193–197
Abstract
Let $G$ be a finite group. A nonempty subset $X$ of $G$ is said to be non-commuting if $xy≠yx$ for any $x, y ∈ X$ with $x≠y$. If $|X| ≥ |Y|$ for any other non-commuting set $Y$ in $G$, then $X$ is said to be a maximal non-commuting set. In this paper, we determine upper and lower bounds on the cardinality of a maximal non-commuting set in a finite $p$-group with derived subgroup of prime order.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2016.03.01
Communications in Mathematical Research , Vol. 32 (2016), Iss. 3 : pp. 193–197
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 5
Keywords: finite $p$-group non-commuting set cardinality.