{ "id": "0811.4365", "version": "v1", "published": "2008-11-26T16:48:00.000Z", "updated": "2008-11-26T16:48:00.000Z", "title": "A simple presentation of the handlebody group of genus 2", "authors": [ "Clement Radu Popescu" ], "comment": "8 pages, 2 figures", "categories": [ "math.GT" ], "abstract": "Using a similar algorithm to Hatcher-Thurston's algorithm for finding a presentation of the mapping class group of a surface, Wajnryb succeeded to find a presentation for the handlebody group. This is long and complicated. In this note I simplify Wajnryb's presentation for the handlebody group of genus g = 2.", "revisions": [ { "version": "v1", "updated": "2008-11-26T16:48:00.000Z" } ], "analyses": { "subjects": [ "20F05", "57M05", "20F38", "57M60" ], "keywords": [ "handlebody group", "simple presentation", "simplify wajnrybs presentation", "similar algorithm", "mapping class group" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0811.4365R" } } }