Commensurability classification of a family of right-angled Coxeter groups
HTML articles powered by AMS MathViewer
- by John Crisp and Luisa Paoluzzi
- Proc. Amer. Math. Soc. 136 (2008), 2343-2349
- DOI: https://doi.org/10.1090/S0002-9939-08-09213-7
- Published electronically: March 11, 2008
- PDF | Request permission
Abstract:
We classify the members of an infinite family of right-angled Coxeter groups up to abstract commensurability.References
- P.-E. Caprace, “Abstract” homomorphisms of split Kac-Moody groups, Ph.D. thesis, Université Libre de Bruxelles, December 2005.
- John Crisp, Automorphisms and abstract commensurators of 2-dimensional Artin groups, Geom. Topol. 9 (2005), 1381–1441. MR 2174269, DOI 10.2140/gt.2005.9.1381
- Jean-François Lafont, Diagram rigidity for geometric amalgamations of free groups, J. Pure Appl. Algebra 209 (2007), no. 3, 771–780. MR 2298855, DOI 10.1016/j.jpaa.2006.07.004
- Bernhard Mühlherr, The isomorphism problem for Coxeter groups, The Coxeter legacy, Amer. Math. Soc., Providence, RI, 2006, pp. 1–15. MR 2209018
- David G. Radcliffe, Rigidity of graph products of groups, Algebr. Geom. Topol. 3 (2003), 1079–1088. MR 2012965, DOI 10.2140/agt.2003.3.1079
Bibliographic 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
- MR Author ID: 605898
- Email: paoluzzi@u-bourgogne.fr
- Received by editor(s): October 12, 2006
- Received by editor(s) in revised form: April 20, 2007
- Published electronically: March 11, 2008
- Communicated by: Alexander N. Dranishnikov
- © Copyright 2008 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 136 (2008), 2343-2349
- MSC (2000): Primary 20F36
- DOI: https://doi.org/10.1090/S0002-9939-08-09213-7
- MathSciNet review: 2390500