Commensurability and QI classification of free products of finitely generated abelian groups
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- by Jason A. Behrstock, Tadeusz Januszkiewicz and Walter D. Neumann PDF
- Proc. Amer. Math. Soc. 137 (2009), 811-813 Request permission
Abstract:
We give the commensurability classifications of free products of finitely many finitely generated abelian groups. We show this coincides with the quasi-isometry classification and prove that this class of groups is quasi-isometrically rigid.References
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Additional Information
- Jason A. Behrstock
- Affiliation: Department of Mathematics, Columbia University, New York, New York 10027
- MR Author ID: 789183
- ORCID: 0000-0002-7652-0374
- Email: jason@math.columbia.edu
- Tadeusz Januszkiewicz
- Affiliation: Department of Mathematics, Ohio State University, Columbus, Ohio 43210 – and – Mathematical Institute of the Polish Academy of Sciences
- Email: tjan@math.ohio-state.edu
- Walter D. Neumann
- Affiliation: Department of Mathematics, Barnard College, Columbia University, New York, New York 10027
- MR Author ID: 130560
- ORCID: 0000-0001-6916-1935
- Email: neumann@math.columbia.edu
- Received by editor(s): December 6, 2007
- Received by editor(s) in revised form: February 13, 2008
- Published electronically: September 4, 2008
- Additional Notes: This research was supported under NSF grants no. DMS-0604524, DMS-0706259, and DMS-0456227
- Communicated by: Alexander N. Dranishnikov
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 811-813
- MSC (2000): Primary 20E06, 20F65, 20F36
- DOI: https://doi.org/10.1090/S0002-9939-08-09559-2
- MathSciNet review: 2457418