Jorgensen's inequality for non-Archimedean metric spaces

Armitage, J.Vernon; Parker, John R.

doi:10.1007/978-3-7643-8608-5_2

Jorgensen's inequality for non-Archimedean metric spaces

Armitage, J.Vernon; Parker, John R.

Authors

J.Vernon Armitage

Professor John Parker j.r.parker@durham.ac.uk
Professor

Contributors

M. Kapranov
Editor

S. Kolyada
Editor

Y.I. Manin
Editor

P. Moree
Editor

L. Potyagailo
Editor

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. (2008). Jorgensen's inequality for non-Archimedean metric spaces. In M. Kapranov, S. Kolyada, Y. Manin, P. Moree, & L. Potyagailo (Eds.), 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.
Public URL	https://durham-repository.worktribe.com/output/1694426
Publisher URL	http://www.springer.com/birkhauser/mathematics/book/978-3-7643-8607-8