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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).


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:(AM) Accepted Manuscript
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Date accepted:No date available
Date deposited:17 November 2009
Date of first online publication:2008
Date first made open access:No date available

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