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Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-53598

# Foertsch, T; Schroeder, V (2011). Group actions on geodesic Ptolemy spaces. Transactions of the American Mathematical Society, 363(6):2891-2906.

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## Abstract

In this paper we study geodesic Ptolemy metric spaces $X$ which allow proper and cocompact isometric actions of crystallographic or, more generally, virtual polycyclic groups. We show that $X$ is equivariantly roughly isometric to a Euclidean space.

## Citations

3 citations in Web of Science®
5 citations in Scopus®

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Item Type: Journal Article, refereed, original work 07 Faculty of Science > Institute of Mathematics 510 Mathematics English 7 January 2011 27 Dec 2011 10:08 30 Mar 2014 06:01 American Mathematical Society 0002-9947 Swiss National Science Foundation, grant 200021-115919 10.1090/S0002-9947-2011-05121-4 http://arxiv.org/abs/0812.0672