{ "id": "2403.09425", "version": "v1", "published": "2024-03-14T14:15:37.000Z", "updated": "2024-03-14T14:15:37.000Z", "title": "Fixing two points in primitive solvable groups", "authors": [ "Francesca Lisi", "Luca Sabatini" ], "comment": "7 pages", "categories": [ "math.GR", "math.CO", "math.RT" ], "abstract": "Consider a finite primitive solvable group. We show that the derived length of the stabilizer of two points can be bounded by an absolute constant.", "revisions": [ { "version": "v1", "updated": "2024-03-14T14:15:37.000Z" } ], "analyses": { "subjects": [ "20B15" ], "keywords": [ "absolute constant", "finite primitive solvable group", "derived length", "stabilizer" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }