{
  "id": "2103.08320",
  "version": "v1",
  "published": "2021-03-15T12:14:59.000Z",
  "updated": "2021-03-15T12:14:59.000Z",
  "title": "A note on non-inner automorphism conjecture",
  "authors": [
    "P. Komma"
  ],
  "comment": "A first draft",
  "categories": [
    "math.GR"
  ],
  "abstract": "In this paper we prove that for $p\\ge 5$, every $2$-generator finite $p$-group $G$ has a non-inner automorphism of order $p$ leaving $G^p\\gamma_4(G)$ elementwise fixed. As a consequence we have the same result for finite $p$-groups of coclass $4$ and coclass $5$ for $p\\ge 5$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-15T12:14:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-inner automorphism conjecture",
      "generator finite",
      "consequence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}