The isometry group of the bounded Urysohn space is simple

Katrin Tent, Martin Ziegler

Type: Article

Publication Date: 2013-05-19

Citations: 20

DOI: https://doi.org/10.1112/blms/bdt035

We show that the isometry group of the bounded Urysohn space is a simple group.

Similar Works

Action	Title	Year	Authors
+ PDF Chat	On the isometry group of the Urysohn space	2012	Katrin Tent Martin Ziegler
+	Urysohn metric space and its group of isometries	2006	Vladimir Pestov
+	Some isometry groups of the Urysohn space	2006	Peter J‎. Cameron A. M. Vershik
+	Isometry Group of a Compact Riemannian Manifold with Simple Spectrum	1985	Akira Ikeda
+	Some geometric and dynamical properties of the Urysohn space	2008	Julien Melleray
+ PDF Chat	Non-abelian group structure on the Urysohn universal space	2014	Michal Doucha
+	Non-abelian group structure on the Urysohn space	2014	Michal Doucha
+ PDF Chat	Topology of the isometry group of the Urysohn space	2010	Julien Melleray
+ PDF Chat	Constructive Urysohn Universal Metric Space	2009	Davorin Lešnik
+ PDF Chat	Transformation Groups on Compact Symmetric Spaces	1965	Tadashi Nagano
+ PDF Chat	Transformation groups on compact symmetric spaces	1965	Tadashi Nagano
+	Quantum isometry group of a compact metric space	2008	Debashish Goswami
+	The Urysohn space is rosy	2012	Isaac Goldbring
+	Spherical Functions on a Semi-Simple Lie Group	1972	Garth Warner
+	Spherical functions on a semi-simple Lie group	1976	Cary Rader
+	Some isometry groups of Urysohn space	2004	Peter J‎. Cameron A. M. Vershik
+	Isometry group of a generalized Riemannian symmetric space	1987	Aleksei E. Tralle
+	On the isometry group of a non-euclidean plane.	2002	Charles Thas
+	Compact homogeneity of Uryson's universal metric space	2000	Семеон Антонович Богатый
+	Group theory and Euclidean isometry groups	2023	Hyman Bass

Action	Title	Year	Authors
+ PDF Chat	AUTOMATIC CONTINUITY FOR ISOMETRY GROUPS	2017	Marcin Sabok
+ PDF Chat	Simplicity of the automorphism groups of generalised metric spaces	2021	David M. Evans Jan Hubička Matěj Konečný Yibei Li Martin Ziegler
+	Automorphism Groups of Homogeneous Structures	2017	Daoud Siniora
+	Model theoretic properties of the Urysohn sphere	2015	Gabriel Conant C. Terry
+ PDF Chat	Simplicity of the automorphism groups of order and tournament expansions of homogeneous structures	2021	Filippo Calderoni Aleksandra Kwiatkowska Katrin Tent
+	Distance structures for generalized metric spaces	2016	Gabriel Conant
+ PDF Chat	Elements of finite order in automorphism groups of homogeneous structures	2013	Dogan Bilge Julien Melleray
+ PDF Chat	Polish groups and Baire category methods	2016	Julien Melleray
+ PDF Chat	Dense locally finite subgroups of automorphism groups of ultraextensive spaces	2021	Mahmood Etedadialiabadi Su Gao François Le Maître Julien Melleray
+	Automorphism groups of homogeneous structures with stationary weak independence relations	2019	Yibei Li

Action	Title	Year	Authors
+	Some geometric and dynamical properties of the Urysohn space	2008	Julien Melleray
+	An Oscillation Theorem for Groups of Isometries	2008	Greg Hjorth