Jorgensen's inequality for non-Archimedean metric spaces
(2008)
Conference Proceeding
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
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 applicat... Read More about Jorgensen's inequality for non-Archimedean metric spaces.