{ "id": "math/9310206", "version": "v1", "published": "1993-10-15T00:00:00.000Z", "updated": "1993-10-15T00:00:00.000Z", "title": "Products of Commutators and Products of Squares in a Free Group", "authors": [ "Leo P. Comerford Jr.", "Charles C. Edmunds" ], "comment": "AMS-LaTex, 11 pages, no figures", "categories": [ "math.GR" ], "abstract": "A classification of the ways in which an element of a free group can be expressed as a product of commutators or as a product of squares is given. This is then applied to some particular classes of elements. Finally, a question about expressing a commutator as a product of squares is addressed.", "revisions": [ { "version": "v1", "updated": "1993-10-15T00:00:00.000Z" } ], "analyses": { "keywords": [ "free group", "commutator" ], "note": { "typesetting": "LaTeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1993math.....10206C" } } }