{ "id": "0909.4027", "version": "v1", "published": "2009-09-22T15:58:39.000Z", "updated": "2009-09-22T15:58:39.000Z", "title": "On the arboreal structure of right-angled Artin groups", "authors": [ "Şerban A. Basarab" ], "comment": "updated version of preprint IMAR no. 11 (1997). 42 pp", "categories": [ "math.GR" ], "abstract": "The present article continues the study of median groups initiated in [6, 9, 10]. Some classes of median groups are introduced and investigated with a stress upon the class of the so called A-groups which contains as remarkable subclasses the lattice ordered groups and the right-angled Artin groups. Some general results concerning A-groups are applied to a systematic study of the arboreal structure of right-angled Artin groups. Structure theorems for foldings, directions, quasidirections and centralizers are proved.", "revisions": [ { "version": "v1", "updated": "2009-09-22T15:58:39.000Z" } ], "analyses": { "subjects": [ "20F36", "20F65", "20E08", "05C25" ], "keywords": [ "right-angled artin groups", "arboreal structure", "median groups", "general results concerning a-groups", "article continues" ], "note": { "typesetting": "TeX", "pages": 42, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0909.4027B" } } }