Automorphism groups of the PSL 2 (𝑞) commuting involution graphs
Year: 2026
Type: article
Abstract: Given a finite group 𝐺 and a conjugacy class of involutions 𝑋 of 𝐺, we define the commuting involution graph C ( G , X ) \mathcal{C}(G,X) to be the graph with vertex set 𝑋 and x , y ∈ X x,y\in X adjacent if and only if x ≠ y x\neq y and x y = y x xy=yx . In this paper, the automorphism group of the graph C ( G , X ) \mathcal{C}(G,X) is determined when G = PSL 2 ( q ) G=\operatorname{PSL}_{2}(q) .
Source: Journal of Group Theory
Authors: James Bryden, Peter Rowley
Institution: University of Manchester
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,712
OpenAlex ID: W7128787643