{ "id": "1603.07713", "version": "v1", "published": "2016-03-24T19:10:55.000Z", "updated": "2016-03-24T19:10:55.000Z", "title": "Chiral polyhedra and finite simple groups", "authors": [ "Dimitri Leemans", "Martin W. Liebeck" ], "categories": [ "math.GR", "math.CO" ], "abstract": "We prove that every finite non-abelian simple group acts as the automorphism group of a chiral polyhedron, apart from the groups $PSL_2(q)$, $PSL_3(q)$, $PSU_3(q)$ and $A_7$.", "revisions": [ { "version": "v1", "updated": "2016-03-24T19:10:55.000Z" } ], "analyses": { "subjects": [ "20D05", "52B10" ], "keywords": [ "finite simple groups", "chiral polyhedron", "finite non-abelian simple group acts", "automorphism group" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160307713L" } } }