Right-angled Artin groups are commensurable with right-angled Coxeter groups
From MaRDI portal
Publication:1587981
DOI10.1016/S0022-4049(99)00175-9zbMath0982.20022MaRDI QIDQ1587981
Tadeusz Januszkiewicz, Michael W. Davis
Publication date: 5 February 2001
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Subgroup theorems; subgroup growth (20E07) Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Topological methods in group theory (57M07)
Related Items (52)
Geometry of right-angled Coxeter groups on the Croke-Kleiner spaces ⋮ On the \(K\)-theory of certain extensions of free groups ⋮ An introduction to right-angled Artin groups. ⋮ Embedding right-angled Artin groups into graph braid groups. ⋮ Special cube complexes revisited: a quasi-median generalization ⋮ Prime \(L\)-algebras and right-angled Artin groups ⋮ Outer space for RAAGs ⋮ Coarse-median preserving automorphisms ⋮ Right‐angled Artin subgroups of Artin groups ⋮ Hierarchically hyperbolic groups and uniform exponential growth ⋮ Cubulating random quotients of hyperbolic cubulated groups ⋮ Mixed 3-manifolds are virtually special ⋮ Commensurability of lattices in right-angled buildings ⋮ The strong Atiyah conjecture for right-angled Artin and Coxeter groups. ⋮ Rigidity of graph products of groups. ⋮ On the linearity of HNN-extensions with Abelian base. ⋮ SURFACE SUBGROUPS OF RIGHT-ANGLED ARTIN GROUPS ⋮ Cohomology computations for Artin groups, Bestvina-Brady groups, and graph products. ⋮ Effective virtual and residual properties of some arithmetic hyperbolic 3–manifolds ⋮ Proper affine actions for right-angled Coxeter groups ⋮ Matching groups and gliding systems ⋮ Co-contractions of graphs and right-angled Artin groups. ⋮ Algebraic ranks of CAT(0) groups. ⋮ Surface subgroups of Coxeter and Artin groups. ⋮ The geometry and topology of reconfiguration ⋮ Finite index subgroups of graph products. ⋮ Divergence and quasimorphisms of right-angled Artin groups. ⋮ A quasi-isometry invariant and thickness bounds for right-angled Coxeter groups ⋮ Coxeter groups and Kähler groups ⋮ The asymptotic geometry of right-angled Artin groups. I. ⋮ SURFACE SUBGROUPS OF GRAPH PRODUCTS OF GROUPS ⋮ Divergence of CAT(0) cube complexes and Coxeter groups ⋮ ACTIONS, LENGTH FUNCTIONS, AND NON-ARCHIMEDEAN WORDS ⋮ On right-angled Artin groups without surface subgroups. ⋮ Coxeter groups are virtually special ⋮ Commensurability of graph products ⋮ Finite extensions of $\mathcal{H}-$ and $\mathcal{AH}-$accessible groups ⋮ The action dimension of right‐angled Artin groups ⋮ On the coarse geometry of certain right-angled Coxeter groups ⋮ Quasi-isometry classification of right-angled Artin groups that split over cyclic subgroups ⋮ \(K\)- and \(L\)-theory of graph products of groups ⋮ Actions of right-angled Coxeter groups on the Croke-Kleiner spaces ⋮ Mod \(p\) and torsion homology growth in nonpositive curvature ⋮ Examples of buildings constructed via covering spaces ⋮ First-order aspects of Coxeter groups ⋮ Representations of pure symmetric automorphism groups of RAAGs ⋮ Alternating quotients of right-angled Coxeter groups ⋮ Subgroups of right-angled Coxeter groups via stallings-like techniques ⋮ Divergence in right-angled Coxeter groups ⋮ Geometric group theory and 3-manifolds hand in hand: the fulfillment of Thurston’s vision ⋮ Morse subgroups and boundaries of random right-angled Coxeter groups ⋮ Diagram groups are totally orderable.
Cites Work
This page was built for publication: Right-angled Artin groups are commensurable with right-angled Coxeter groups