{ "id": "1006.1759", "version": "v1", "published": "2010-06-09T10:25:22.000Z", "updated": "2010-06-09T10:25:22.000Z", "title": "The Isomorphism Problem for Higman-Thompson groups", "authors": [ "Enrique Pardo" ], "comment": "12 pages. Submitted to Journal of Algebra", "categories": [ "math.GR", "math.RA" ], "abstract": "We prove that the Higman-Thompson groups $G_{n,r}^+$ and $G_{m,s}^+$ are isomorphic if and only if $m=n$ and $\\mbox{gcd}(n-1,r)=\\mbox{gcd}(n-1,s)$.", "revisions": [ { "version": "v1", "updated": "2010-06-09T10:25:22.000Z" } ], "analyses": { "subjects": [ "20E32", "20E36", "20F05", "16D70" ], "keywords": [ "higman-thompson groups", "isomorphism problem" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1006.1759P" } } }