{ "id": "1012.1325", "version": "v4", "published": "2010-12-06T21:02:41.000Z", "updated": "2011-03-21T01:25:00.000Z", "title": "Asymptotic invariants, complexity of groups and related problems", "authors": [ "Mark Sapir" ], "comment": "86 pages. Preliminary version, comments are welcome. v2: some references added, misprints fixed, some changes suggested by the readers are made. 88 pages. v3: more readers' suggestions implemented, index added, the list of references improved. This version is submitted to a journal. v4: The paper is accepted in Bulletin of Mathematical Sciences", "categories": [ "math.GR", "math.GT" ], "abstract": "We survey results about computational complexity of the word problem in groups, Dehn functions of groups and related problems.", "revisions": [ { "version": "v4", "updated": "2011-03-21T01:25:00.000Z" } ], "analyses": { "keywords": [ "related problems", "asymptotic invariants", "computational complexity", "word problem" ], "note": { "typesetting": "TeX", "pages": 86, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1012.1325S" } } }