{
  "id": "2404.04705",
  "version": "v1",
  "published": "2024-04-06T18:38:30.000Z",
  "updated": "2024-04-06T18:38:30.000Z",
  "title": "Twisted conjugacy in dihedral Artin groups II: Baumslag Solitar groups $\\mathrm{BS}(n,n)$",
  "authors": [
    "Gemma Crowe"
  ],
  "comment": "Comments welcome!",
  "categories": [
    "math.GR",
    "cs.CC"
  ],
  "abstract": "In this second paper we solve the twisted conjugacy problem for even dihedral Artin groups, that is, groups with presentation $G(m) = \\langle a,b \\mid {}_{m}(a,b) = {}_{m}(b,a) \\rangle$, where $m \\geq 2$ is even, and $_{m}(a,b)$ is the word $abab\\dots$ of length $m$. Similar to odd dihedral Artin groups, we prove orbit decidability for all subgroups $A \\leq \\mathrm{Aut}(G(m))$, which then implies that the conjugacy problem is solvable in extensions of even dihedral Artin groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-06T18:38:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F10",
      "20F36"
    ],
    "keywords": [
      "baumslag solitar groups",
      "odd dihedral artin groups",
      "orbit decidability",
      "second paper",
      "twisted conjugacy problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}