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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Commensurability and QI classification of free products of finitely generated abelian groups


Authors: Jason A. Behrstock, Tadeusz Januszkiewicz and Walter D. Neumann
Journal: Proc. Amer. Math. Soc. 137 (2009), 811-813
MSC (2000): Primary 20E06, 20F65, 20F36
Published electronically: September 4, 2008
MathSciNet review: 2457418
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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.


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Additional Information

Jason A. Behrstock
Affiliation: Department of Mathematics, Columbia University, New York, New York 10027
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
Email: neumann@math.columbia.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-08-09559-2
PII: S 0002-9939(08)09559-2
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
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.