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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
MathSciNet review:
2390500
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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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