Automorphism groups of the PSL 2 (π) commuting involution graphs
Abstract
Abstract Given a finite group πΊ and a conjugacy class of involutions π of πΊ, we define the commuting involution graph C β’ ( G , X ) \mathcal{C}(G,X) to be the graph with vertex set π and x , y β X x,y\in X adjacent if and only if x β y x\neq y and x β’ y = y β’ x xy=yx . In this paper, the automorphism group of the graph C β’ ( G , X ) \mathcal{C}(G,X) is determined when G = PSL 2 β‘ ( q ) G=\operatorname{PSL}_{2}(q) .
Fields of Study & Subjects
Finite Group Theory Research
Advanced Algebra and Geometry
Graph theory and applications
Publication details
- Journal / source
- Journal of Group Theory
- Publication date
- 12 February 2026
- Language
- EN