On the isometry group of the Urysohn space

Katrin Tent; Martin Ziegler

arxiv: 1109.3811 · v3 · pith:R2XPNN3Gnew · submitted 2011-09-17 · 🧮 math.GR · math.LO· math.MG

On the isometry group of the Urysohn space

Katrin Tent , Martin Ziegler This is my paper

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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On the isometry group of the Urysohn space

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