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On the isometry group of the Urysohn space

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arxiv 1109.3811 v3 pith:R2XPNN3G submitted 2011-09-17 math.GR math.LOmath.MG

On the isometry group of the Urysohn space

classification math.GR math.LOmath.MG
keywords groupboundedisometryspaceurysohnapplyautomorphismcertain
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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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