{ "id": "2005.13917", "version": "v1", "published": "2020-05-28T11:29:33.000Z", "updated": "2020-05-28T11:29:33.000Z", "title": "The compressed word problem in relatively hyperbolic groups", "authors": [ "Derek Holt", "Sarah Rees" ], "categories": [ "math.GR" ], "abstract": "We prove that the compressed word problem in a group that is hyperbolic relative to a collection of free abelian subgroups is solvable in polynomial time.", "revisions": [ { "version": "v1", "updated": "2020-05-28T11:29:33.000Z" } ], "analyses": { "subjects": [ "20F10", "20F65", "20F67" ], "keywords": [ "compressed word problem", "relatively hyperbolic groups", "free abelian subgroups", "polynomial time" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }