{ "id": "1402.4978", "version": "v1", "published": "2014-02-20T12:11:46.000Z", "updated": "2014-02-20T12:11:46.000Z", "title": "Toroidal and projective commuting and non-commuting graphs", "authors": [ "Mojgan Afkhami", "Mohammad Farrokhi Derakhshandeh Ghouchan", "Kazem Khashyarmanesh" ], "comment": "6 pages, To appear in Comm. Algebra", "categories": [ "math.GR" ], "abstract": "In this paper, all finite groups whose commuting (non-commuting) graphs can be embed on the plane, torus or projective plane are classified.", "revisions": [ { "version": "v1", "updated": "2014-02-20T12:11:46.000Z" } ], "analyses": { "subjects": [ "05C25", "05C10" ], "keywords": [ "non-commuting graphs", "projective commuting", "finite groups" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1402.4978A" } } }