On the isometry group of the Urysohn space
Group Theory
2014-02-26 v3 Logic
Metric Geometry
Abstract
We give a general criterion for the (bounded) simplicity of the automorphism groups of certain countable structures and apply it to show that the isometry group of the Urysohn space modulo the normal subgroup of bounded isometries is a simple group.
Keywords
Cite
@article{arxiv.1109.3811,
title = {On the isometry group of the Urysohn space},
author = {Katrin Tent and Martin Ziegler},
journal= {arXiv preprint arXiv:1109.3811},
year = {2014}
}