{
  "annotation_id": "b6b57bdf-39da-4be4-8808-1a8335dcbb32",
  "date_created": "2026-02-17T05:53:16.241000Z",
  "date_modified": "2026-02-17T05:53:16.241000Z",
  "file_hash": "2e688d11a6ed3d72a055723fb2109ca8c23e2a875d6fff12422445b20381a601",
  "private": false,
  "record": {
    "abstract": "We prove that non-abelian definable, definably simple groups in 1-h-minimal henselian valued fields are essentially already linear algebraic groups. Here, the group is assumed to live in the home sort. We have a similar result in pure algebraically closed valued fields of positive characteristic, under the additional assumption that the definable group is a subgroup of a linear algebraic group.",
    "arxiv_id": "2601.08423",
    "authors": [
      "Jakub Gismatullin",
      "Immanuel Halupczok",
      "Dugald Macpherson"
    ],
    "categories": [
      "math.LO",
      "math.AC",
      "math.AG",
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "On simple groups definable in some valued fields",
    "url": "https://arxiv.org/abs/2601.08423",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e839ed8d-5dde-45fa-9092-dd6637280564",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}