English

Intersection Orbital Graphs of Permutation Groups and Reconstruction of Simple Groups

Combinatorics 2026-05-28 v1

Abstract

We introduce the \emph{intersection orbital graph} Γ(G1,G2;Ω)\Gamma(G_1, G_2; \Omega) associated with two permutation groups G1,G2Sym(Ω)G_1, G_2 \leq \mathrm{Sym}(\Omega) on a finite set Ω\Omega.

Keywords

Cite

@article{arxiv.2605.28423,
  title  = {Intersection Orbital Graphs of Permutation Groups and Reconstruction of Simple Groups},
  author = {Shahram Mehry},
  journal= {arXiv preprint arXiv:2605.28423},
  year   = {2026}
}