{ "id": "math/0508327", "version": "v1", "published": "2005-08-17T14:43:39.000Z", "updated": "2005-08-17T14:43:39.000Z", "title": "Permutation representations of the braid group commutator subgroup", "authors": [ "Abdelouahab Arouche" ], "categories": [ "math.GR", "math.CO" ], "abstract": "We study the representations of the commutator subgroup of the braid group with n strands in the symmetric group of degree r. Motivated by some experimental results, we conjecture that for n>r, every such representation is trivial.", "revisions": [ { "version": "v1", "updated": "2005-08-17T14:43:39.000Z" } ], "analyses": { "subjects": [ "20F36", "20C40", "20E07" ], "keywords": [ "braid group commutator subgroup", "permutation representations", "symmetric group", "experimental results", "conjecture" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......8327A" } } }