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

 

Hyperbolic surfaces with prescribed infinite symmetry groups


Author: Daniel Allcock
Journal: Proc. Amer. Math. Soc. 134 (2006), 3057-3059
MSC (2000): Primary 51M09; Secondary 20F99
Published electronically: May 5, 2006
MathSciNet review: 2231632
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Abstract: For any countable group $ G$ whatsoever, there is a complete hyperbolic surface whose isometry group is $ G$.


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Additional Information

Daniel Allcock
Affiliation: Department of Mathematics, University of Texas at Austin, Austin, Texas 78712
Email: allcock@math.utexas.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-06-08460-7
PII: S 0002-9939(06)08460-7
Received by editor(s): May 4, 2005
Published electronically: May 5, 2006
Additional Notes: This work was partially supported by NSF grant DMS-024512.
Communicated by: Alexander N. Dranishnikov
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.