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arXiv · 2509.25901

Automorphism Groups of the $PSL_2(q)$ Commuting Involution Graphs

James Bryden·Peter Rowley
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Abstract

Given a finite group $G$ and a conjugacy class of involutions $X$ of $G$, we define the commuting involution graph $\mathcal{C}(G,X)$ to be the graph with vertex set $X$ and $x,y \in X$ adjacent if and only if $x \neq y$ and $xy =yx$. In this paper the automorphism group of the graph $\mathcal{C}(G,X)$ is determined when $G = PSL_2(q)$.

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James Bryden, Peter Rowley. 2025-09-30. Automorphism Groups of the $PSL_2(q)$ Commuting Involution Graphs. https://arxiv.org/abs/2509.25901

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