RAAGedy right-angled Coxeter groups II: in the quasiisometry class of the tree RAAGs

Abstract

We classify two-dimensional right-angled Coxeter groups that are quasiisometric to a right-angled Artin group defined by a tree, and show that when this is true the right-angled Coxeter group actually contains a visible finite index right-angled Artin subgroup.

arXiv comment15 pages, 4 figures, author's accepted manuscript, to appear in Proc AMS

References in corpus (11)

• Quasi-isometric classification of graph manifold groups
• Quasi-isometries Between Groups with Two-Ended Splittings
• Line Patterns in Free Groups
• Quasi-isometries Between Tubular Groups
• Quasi-isometry classification of RAAGs that split over cyclic subgroups
• Groups quasi-isometric to RAAG's
• Splitting Line Patterns in Free Groups
• On the coarse geometry of certain right-angled Coxeter groups
• Right-angled Artin subgroups of right-angled Coxeter and Artin groups
• Quasi-Isometries for certain Right-Angled Coxeter Groups
• Visual right-angled Artin subgroups of two-dimensional right-angled Coxeter groups