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arXiv · 1109.3811

On the isometry group of the Urysohn space

Katrin Tent·Martin Ziegler
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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.

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Katrin Tent, Martin Ziegler. 2012-02-04. On the isometry group of the Urysohn space. https://doi.org/10.1112/jlms%2Fjds027

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