J.Vernon Armitage
Jorgensen's inequality for non-Archimedean metric spaces
Armitage, J.Vernon; Parker, John R.; Kapranov, M.; Kolyada, S.; Manin, Y.I.; Moree, P.; Potyagailo, L.
Authors
Professor John Parker j.r.parker@durham.ac.uk
Professor
M. Kapranov
S. Kolyada
Y.I. Manin
P. Moree
L. Potyagailo
Abstract
Jørgensen’s inequality gives a necessary condition for a non-elementary group of Möbius transformations to be discrete. In this paper we generalise this to the case of groups of Möbius transformations of a non-Archimedean metric space. As an application, we give a version of Jørgensen’s inequality for SL(2, ℚ p ).
Citation
Armitage, J., Parker, J. R., Kapranov, M., Kolyada, S., Manin, Y., Moree, P., & Potyagailo, L. (2008). Jorgensen's inequality for non-Archimedean metric spaces. In Geometry and dynamics of groups and spaces : in memory of Alexander Reznikov (97-111). https://doi.org/10.1007/978-3-7643-8608-5_2
Conference Name | Geometry and dynamics of groups and spaces : in memory of Alexander Reznikov. |
---|---|
Conference Location | Bonn, Germany |
Start Date | Sep 22, 2006 |
End Date | Sep 29, 2006 |
Publication Date | Jan 1, 2008 |
Deposit Date | Nov 11, 2009 |
Publicly Available Date | Nov 17, 2009 |
Publisher | Birkhäuser Verlag |
Pages | 97-111 |
Series Title | Progress in mathematics |
Series Number | 265 |
Book Title | Geometry and dynamics of groups and spaces : in memory of Alexander Reznikov. |
DOI | https://doi.org/10.1007/978-3-7643-8608-5_2 |
Keywords | Discrete group, p-adic numbers. |
Publisher URL | http://www.springer.com/birkhauser/mathematics/book/978-3-7643-8607-8 |
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