{
  "id": "2312.04430",
  "version": "v1",
  "published": "2023-12-07T16:56:16.000Z",
  "updated": "2023-12-07T16:56:16.000Z",
  "title": "A Summary of Known Bounds on the Essential Dimension and Resolvent Degree of Finite Groups",
  "authors": [
    "Alexander J. Sutherland"
  ],
  "comment": "6 pages. All information up to date as of December 7th, 2023",
  "categories": [
    "math.AG",
    "math.GR"
  ],
  "abstract": "We summarize what is currently known about ed$(G)$ and RD$(G)$ for finite groups $G$ over $\\mathbb{C}$ (i.e. in characteristic 0). In Appendix A, we also give an argument which improves the known bound on RD(PSL$(2,\\mathbb{F}_{11})$).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-07T16:56:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14-02",
      "12-02",
      "20-02"
    ],
    "keywords": [
      "finite groups",
      "essential dimension",
      "resolvent degree",
      "characteristic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}