{ "id": "1611.02187", "version": "v1", "published": "2016-11-07T17:44:09.000Z", "updated": "2016-11-07T17:44:09.000Z", "title": "Classifying spaces for the family of virtually cyclic subgroups of braid groups", "authors": [ "Ramón Flores", "Juan González-Meneses" ], "comment": "1 figure", "categories": [ "math.AT", "math.GR" ], "abstract": "We prove that, for $n\\geq 3$, the minimal dimension of a model of the classifying space of the full braid group $B_n$, and of the pure braid group $P_n$, with respect to the family of virtually cyclic groups is $n$.", "revisions": [ { "version": "v1", "updated": "2016-11-07T17:44:09.000Z" } ], "analyses": { "subjects": [ "20F36", "55R35" ], "keywords": [ "virtually cyclic subgroups", "classifying space", "pure braid group", "full braid group", "minimal dimension" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }