{ "id": "1301.0616", "version": "v1", "published": "2013-01-03T13:10:38.000Z", "updated": "2013-01-03T13:10:38.000Z", "title": "Addendum to \"Commensurations and Subgroups of Finite Index of Thompson's Group F\"", "authors": [ "José Burillo", "Sean Cleary", "Claas E. Röver" ], "comment": "5 pages. Significantly extends arXiv:0711.0919", "categories": [ "math.GR" ], "abstract": "We show that the abstract commensurator of Thompson's group F is composed of four building blocks: two isomorphism types of simple groups, the multiplicative group of the positive rationals and a cyclic group of order two. The main result establishes the simplicity of a certain group of piecewise linear homeomorphisms of the real line.", "revisions": [ { "version": "v1", "updated": "2013-01-03T13:10:38.000Z" } ], "analyses": { "subjects": [ "20E34", "20E32", "20F65" ], "keywords": [ "thompsons group", "finite index", "commensurations", "main result establishes", "simple groups" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1301.0616B" } } }