Right-angled Artin groups are commensurable with right-angled Coxeter groups

By Michael W. Davis, Tadeusz Januszkiewicz. 2000

145 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/0aa3f0719d84a872e780959d5e2093626ed5b3ed

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In Geometry and Topology

In Mathematical Physics

Citations in the corpus

Braids: A Survey (2004, background): “It turns out that, like the braid groups, all right-angled Artin groups have faithful matrix representations [58], [50].”
Cohomology computations for Artin groups, Bestvina-Brady groups, and graph products (2010, background): “It is proved in [16] that the cubical complex T̃L can be identified with U(WOL,K), and that WOL and AL are commensurable.”
Some groups of type VF (2003, methodology): “Remark. An alternative embedding of G L in a right-angled Coxeter group WT(L) has been given by M. Davis and T. Januszkiewicz [ 22 ].”
The asymptotic geometry of right-angled Artin groups, I (2007, methodology): “The group G. / is commensurable with a suitable right-angled Coxeter group by Davis and Januszkiewicz [10].”
Divergence in right-angled Coxeter groups (2012, background): “We note that by [10], every right-angled Artin group is a finite index subgroup of, and therefore quasi-isometric to, a right-angled Coxeter group.”
Finite index subgroups of graph products (2008, background): “22 (see [8]) Let be the right-angled Artin group associated with a finite graph G with vertex set I .”
Coxeter groups are virtually special (2010, background): “We showed in [11] that special cube complexes are intimately related to right-angled Coxeter groups and right-angled Artin groups, and in particular if X is a nonpositively curved special cube complex, then π1X is a subgroup of a right-angled Artin group, and thus a subgroup of a right-angled Coxete”
An introduction to right-angled Artin groups (2006, unknown): “Indeed, Davis and Januszkiewicz [39] prove: Theorem 2.2.”
The Geometry and Topology of Coxeter Groups (2025, background): “It is proved in [10] that every RAAG is commensurable with a RACG.”
Torus Actions and their Applications in Topology and Combinatorics (2002, background): “We say a few words about the Z=2-theory here, referring the reader to [48], [49] and other papers of R.”