Automorphism Groups of the PSL₂(q) Commuting Involution Graphs

2025/09/30 by Bryden, James, Rowley, Peter
#05C25 #20E99 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2509.25901

Abstract

Given a finite group G and a conjugacy class of involutions X of G, we define the commuting involution graph C(G,X) to be the graph with vertex set X and x,y ∈ X adjacent if and only if x ≠ y and xy =yx. In this paper the automorphism group of the graph C(G,X) is determined when G = PSL₂(q).

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