{ "id": "2001.06326", "version": "v1", "published": "2020-01-16T05:29:55.000Z", "updated": "2020-01-16T05:29:55.000Z", "title": "Torsion Generators of the Twist Subgroup", "authors": [ "Tulin Altunoz", "Mehmetcik Pamuk", "Oguz Yildiz" ], "comment": "9 pages, 6 figures. arXiv admin note: substantial text overlap with arXiv:1912.10685", "categories": [ "math.GT" ], "abstract": "We showed that the twist subgroup of the mapping class group of a closed connected nonorientable surface of genus $g\\geq13$ can be generated by two involutions and an element of order $g$ or $g-1$ depending on $g$ is odd or even.", "revisions": [ { "version": "v1", "updated": "2020-01-16T05:29:55.000Z" } ], "analyses": { "subjects": [ "57N05", "20F38", "20F05" ], "keywords": [ "twist subgroup", "torsion generators", "mapping class group", "closed connected nonorientable surface" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }