Length functions of 2-dimensional right-angled Artin groups

2011/03/28 by Ruth Charney, Charney, Ruth, Max L. Margolis +2
Mathematics · #20F36 #20F65 #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #math.GR #msc:20F36 #msc:20F65

paper · pdf · doi:10.48550/arxiv.1103.5328

Minor revisions

openalex publication_date 2011/03/28 · arxiv created 2011/04/08 · arxiv updated 2011/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Morgan and Culler proved that a minimal action of a free group on a tree is determined by its translation length function. We prove an analogue of this theorem for 2-dimensional right-angled Artin groups acting on CAT(0) rectangle complexes.

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