%0 Journal Article %T On the arboreal structure of right-angled Artin groups %A £żerban A. Basarab %J Mathematics %D 2009 %I arXiv %X 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. %U http://arxiv.org/abs/0909.4027v1