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 ).
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Dedicated to the memory of Alexander Reznikov
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© 2007 Birkhäuser Verlag Basel/Switzerland
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Armitage, J.V., Parker, J.R. (2007). Jørgensen’s Inequality for Non-Archimedean Metric Spaces. In: Kapranov, M., Manin, Y.I., Moree, P., Kolyada, S., Potyagailo, L. (eds) Geometry and Dynamics of Groups and Spaces. Progress in Mathematics, vol 265. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8608-5_2
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DOI: https://doi.org/10.1007/978-3-7643-8608-5_2
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8607-8
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