Intersection Orbital Graphs of Permutation Groups and Reconstruction of Simple Groups

Shahram Mehry

paper

Intersection Orbital Graphs of Permutation Groups and Reconstruction of Simple Groups

arXiv:2605.28423

Abstract

We introduce the \emph{intersection orbital graph} $Γ (G_{1}, G_{2}; Ω)$ associated with two permutation groups $G_{1}, G_{2} \leq Sym (Ω)$ on a finite set $Ω$ .

arXiv commentThe manuscript is being withdrawn due to substantial revisions and restructuring of the content. An updated version will be resubmitted upon completion