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arXiv · 0909.4027

On the arboreal structure of right-angled Artin groups

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.

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Şerban A. Basarab. 2009-09-22. On the arboreal structure of right-angled Artin groups. https://arxiv.org/abs/0909.4027

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