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Sean Cleary and Conchita Martínez-Pérez
Undistorted embeddings of metabelian groups of finite Prüfer rank view print
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| Published: |
October 21, 2015 |
| Keywords: |
Metabelian groups, distortion |
| Subject: |
20F16, 20F65 |
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Abstract
General arguments of Baumslag and Bieri guarantee that any torsion-free finitely generated metabelian group of finite Prüfer rank can be embedded in a metabelian constructible group. Here, we consider the metric behavior of a rich class of examples and analyze the distortions of specific embeddings.
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| Acknowledgements
The first author is grateful for funding provided by NSF grants #0811002 and #1417820. This work was partially supported by a grant from the Simons Foundation (#234548 to Sean Cleary). The second author was supported by Gobierno de Aragón, European Regional Development Funds,MTM2010-19938-C03-03 and Gobierno de Aragón, Subvención de Fomento de la Movilidad de los Investigadores.
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| Author information
Sean Cleary:
Department of Mathematics R8133, The City College of New York, Convent Ave & 138th, New York, NY 10031,USA
cleary@ccny.cuny.edu
Conchita Martínez-Pérez:
IUMA. Departamento de Matemáticas, Universidad de Zaragoza, 50009 Zaragoza, Spain
conmar@unizar.es
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