2009/09/22 by Şerban A. Basarab, Basarab, Şerban A.
Computer Science · Mathematics · #05C25 #20E08 #20F36 #20F65 #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #math.GR #msc:05C25 #msc:20E08 #msc:20F36 #msc:20F65 #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.0909.4027
updated version of preprint IMAR no. 11 (1997). 42 pp
arxiv created 2009/09/22 · openalex publication_date 2009/09/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.