{
  "annotation_id": "62fa1d62-6308-40b1-b79d-fded4e8ba327",
  "date_created": "2026-02-17T05:53:20.274000Z",
  "date_modified": "2026-02-17T05:53:20.274000Z",
  "file_hash": "235cc4bb222f4937a4b8bf98380f4be08be309f47608d700573bc84d2ca1c059",
  "private": false,
  "record": {
    "abstract": "We prove a conjecture of Dekimpe, De Rock and Penninckx concerning the existence of eigenvalues one in certain elements of finite groups acting irreducibly on a real vector space of odd dimension. This yields a sufficient condition for a closed flat manifold to be an $R_{\\infty}$-manifold.",
    "arxiv_id": "2601.09622",
    "authors": [
      "Gerhard Hiss",
      "Rafa\u0142 Lutowski"
    ],
    "categories": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "The eigenvalue one property of finite groups, II",
    "url": "https://arxiv.org/abs/2601.09622",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "609d48a6-155d-4f4f-95f4-f342404bcd2c",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}