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Commensurability classification of a family of right-angled Coxeter groups

Author(s): John Crisp; Luisa Paoluzzi
Journal: Proc. Amer. Math. Soc. 136 (2008), 2343-2349.
MSC (2000): Primary 20F36
Posted: March 11, 2008
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Abstract | References | Similar articles | Additional information

Abstract: We classify the members of an infinite family of right-angled Coxeter groups up to abstract commensurability.

References:

1.: P.-E. Caprace, ``Abstract'' homomorphisms of split Kac-Moody groups, Ph.D. thesis, Université Libre de Bruxelles, December 2005.
2.: J. Crisp, Automorphisms and abstract commensurators of -dimensional Artin groups, Geometry and Topology 9 (2005) 1381-1441. MR 2174269 (2006g:20057)
3.: J.-F. Lafont, Diagram rigidity for geometric amalgamations of free groups, J. Pure Appl. Algebra 209 (2007) 771-780. MR 2298855
4.: B. Mühlherr, The isomorphism problem for Coxeter groups, in ``The Coxeter Legacy'', 1-15, Amer. Math. Soc., Providence, RI, 2006. MR 2209018 (2006k:20084)
5.: D. Radcliffe, Rigidity of graph products of groups, Algebr. Geom. Topol. 3 (2003) 1079-1088. MR 2012965 (2004h:20056)

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Additional Information:

John Crisp
Affiliation: I.M.B. (UMR 5584 du CNRS), Université de Bourgogne, B.P. 47 870, 21078 Dijon, France
Email: jcrisp@u-bourgogne.fr

Luisa Paoluzzi
Affiliation: I.M.B. (UMR 5584 du CNRS), Université de Bourgogne, B.P. 47 870, 21078 Dijon, France
Email: paoluzzi@u-bourgogne.fr

DOI: 10.1090/S0002-9939-08-09213-7
PII: S 0002-9939(08)09213-7
Keywords: Abstract commensurability, right-angled, Coxeter group
Received by editor(s): October 12, 2006,
Received by editor(s) in revised form: April 20, 2007
Posted: March 11, 2008
Communicated by: Alexander N. Dranishnikov
Copyright of article: Copyright 2008, American Mathematical Society


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