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.

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