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

 

On fields of definition of arithmetic Kleinian reflection groups


Author: Mikhail Belolipetsky
Journal: Proc. Amer. Math. Soc. 137 (2009), 1035-1038
MSC (2000): Primary 30F40, 20F55, 22E40
Published electronically: September 25, 2008
MathSciNet review: 2457444
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Abstract: We show that the degrees of the real fields of definition of arithmetic Kleinian reflection groups are bounded by $ 35$.


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Additional Information

Mikhail Belolipetsky
Affiliation: Department of Mathematical Sciences, Durham University, Durham DH1 3LE, United Kingdom\ –\ and\ –\ Sobolev Institute of Mathematics, Koptyuga 4, 630090 Novosibirsk, Russia
Email: mikhail.belolipetsky@durham.ac.uk

DOI: http://dx.doi.org/10.1090/S0002-9939-08-09590-7
PII: S 0002-9939(08)09590-7
Received by editor(s): November 6, 2007
Received by editor(s) in revised form: March 31, 2008
Published electronically: September 25, 2008
Additional Notes: The author was partially supported by EPSRC grant EP/F022662/1
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.