@Article{CMR-32-193,
author = {Wang , Yulei and Liu , Heguo},
title = {On Non-Commuting Sets in a Finite $p$-Group with Derived Subgroup of Prime Order},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {32},
number = {3},
pages = {193--197},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.13447/j.1674-5647.2016.03.01},
url = {http://global-sci.org/intro/article_detail/cmr/18891.html}
}