Isomorphisms and automorphisms of graph products of groups

Amandine Escalier; Camille Horbez

Isomorphisms and automorphisms of graph products of groups

Group Theory 2026-07-24 v1

Authors: Amandine Escalier , Camille Horbez

Abstract

We solve the isomorphism problem for graph products of groups. We give a generating set for the automorphism group of a graph product of groups, generalizing the one given by Laurence and Servatius for right-angled Artin groups.

Keywords

graph products of groups isomorphism problem automorphism groups right-angled Artin groups

Cite

@article{arxiv.2607.22303,
  title  = {Isomorphisms and automorphisms of graph products of groups},
  author = {Amandine Escalier and Camille Horbez},
  journal= {arXiv preprint arXiv:2607.22303},
  year   = {2026}
}

Comments

48 pages. The document is written in Atkinson hyperlegible font. It can be easily changed to Computer Modern or OpenSans by downloading the sources and commenting/uncommenting the lines as indicated in Headers_aut.tex