Coxeter groups are virtually special

By Frédéric Haglund, Daniel T. Wise. 2010

105 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/0aed36117e64bf329e93be944cb29ce1c2d6c308

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Henry Wilton
2. Ashot Minasyan
3. Frédéric Haglund
4. Daniel T. Wise
5. G. Hruska
6. Pavel A. Zalesskii
7. Y. Antol'in
8. Denis V. Osin

In Discrete Mathematics and Combinatorics

1. Daniel T. Wise
2. Henry Wilton
3. Ashot Minasyan
4. G. Hruska
5. Frédéric Haglund
6. Pavel A. Zalesskii
7. Y. Antol'in
8. Denis V. Osin

In Geometry and Topology

1. Daniel T. Wise
2. Henry Wilton
3. Ashot Minasyan
4. Frédéric Haglund
5. Pavel A. Zalesskii
6. G. Hruska
7. Y. Antol'in
8. Denis V. Osin

Citations in the corpus

• Tits alternatives for graph products (2011, background): “The family of subgroups of right angled Artin groups is very rich and includes many examples (see [4, 16, 15, 9, 25]).”
• Distinguishing geometries using finite quotients (2014, background): “Our techniques also apply to hyperbolic, virtually special groups, in the sense of Haglund and Wise.”
• Finiteness properties of cubulated groups (2012, background): “This finiteness property enables one to prove virtual specialness in the presence of corresponding double hyperplane coset separability [HW10a].”
• A combination theorem for special cube complexes (2012, methodology): “After we developed this point of view on the virtual specialness of these lattices, an alternate treatment has been developed in [BHW] which uses the double coset separability criterion very much along the lines of the proof of virtual specialness of Coxeter groups [HWa].”
• Graph manifolds with boundary are virtually special (2011, unknown): “A special cube complex is a non-positively curved cube complex that admits a local isometry into the Salvetti complex of a right-angled Artin group (see [6, 7]).”
• Hereditary conjugacy separability of right angled Artin groups and its applications (2009, background): “ be a right angled Coxeter group. For any Coxeter group G, G. Niblo and L. Reeves [48] constructed a locally finite, finite dimensional CAT(0) cube complex C on which Gacts properly discontinuously. In [34] Haglund and Wise show that Ghas a finite index subgroup Fsuch that Facts freely on C and the quo”