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Jorgensen's inequality for non-Archimedean metric spaces.

Armitage, J. Vernon. and Parker, John R. (2008) 'Jorgensen's inequality for non-Archimedean metric spaces.', in Geometry and dynamics of groups and spaces : in memory of Alexander Reznikov. Basel and Boston: Birkhauser, pp. 97-111. Progress in mathematics. (265).

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 ).

Item Type:Book chapter
Keywords:Discrete group, p-adic numbers.
Full text:PDF - Accepted Version (200Kb)
Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1007/978-3-7643-8608-5_2
Record Created:11 Nov 2009 09:05
Last Modified:29 Nov 2011 16:58

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