{
  "annotation_id": "8b869276-2b7b-4c0a-b200-247e662bc72c",
  "date_created": "2026-02-17T05:53:15.297000Z",
  "date_modified": "2026-02-17T05:53:15.297000Z",
  "file_hash": "5007fc2c425e300ab7c97cc78a6b24256c5a76292592c3dd6257aec43c33ed5e",
  "private": false,
  "record": {
    "abstract": "Let $\\mathcal{D}$ be a block design admitting a locally transitive automorphism group $G$. We say $\\mathcal{D}$ is $G$-point-locally dihedral if the induced local action $G_x^{\\mathcal{D}(x)}$ is dihedral for each point $x$, and say $\\mathcal{D}$ is $G$-block-locally dihedral if the induced local action $G_B^B$ is dihedral for each block $B$. The design $\\mathcal{D}$ is called $G$-locally dihedral if both conditions hold. We give a classification of primitive permutation groups with dihedral point stabilizers, and apply it to classify point-locally dihedral block designs. For symmetric designs with a dihedral local action, we show that $G_x$ and $G_B$ are conjugate in $G$. Moreover, both local actions are faithful, and $G$ acts imprimitively on both points and blocks.",
    "arxiv_id": "2601.08678",
    "authors": [
      "Jianfu Chen",
      "Yanni Wu",
      "Binzhou Xia"
    ],
    "categories": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Locally dihedral block designs and primitive groups with dihedral point stabilizers",
    "url": "https://arxiv.org/abs/2601.08678",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7108a337-0a38-45cd-878a-072dedaa851c",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}