{
  "id": "2107.12171",
  "version": "v1",
  "published": "2021-07-26T12:39:30.000Z",
  "updated": "2021-07-26T12:39:30.000Z",
  "title": "Aut-invariant quasimorphisms on graph products of abelian groups",
  "authors": [
    "Bastien Karlhofer"
  ],
  "comment": "24 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "The present paper constructs unbounded quasimorphisms that are invariant under all automorphisms on free products of more than two factors and on graph products of finitely generated abelian groups. This includes many classes of right angled Artin and right angled Coxeter groups. We discuss various geometrically arising families of graphs as examples and deduce the non-triviality of an invariant analogue of stable commutator length recently introduced by Kawasaki and Kimura for these groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-26T12:39:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "05C25",
      "20E06"
    ],
    "keywords": [
      "graph products",
      "aut-invariant quasimorphisms",
      "paper constructs unbounded quasimorphisms",
      "right angled coxeter groups",
      "stable commutator length"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}