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: | (AM) Accepted Manuscript Download PDF (200Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | http://dx.doi.org/10.1007/978-3-7643-8608-5_2 |
| Date accepted: | No date available |
| Date deposited: | 17 November 2009 |
| Date of first online publication: | 2008 |
| Date first made open access: | No date available |
Save or Share this output
| Export: | |
| Look up in GoogleScholar |
