Projective non-commuting graph of a group
DOI:
https://doi.org/10.22199/issn.0717-6279-6047Keywords:
non-commuting graph, projective graph, finite groupsAbstract
Let $G$ be a finite non-abelian group and let $T$ be a transversal of the center of $G$ in $G$.
The non-commuting graph of $G$ on a transversal of the center is the graph whose vertices are the non-central elements of $T$ and two vertices $x$ and $y$ are joined by an edge whenever $xy \neq yx$. In this paper, we classify the groups whose non-commuting graph on a transversal of the center is projective.
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