Submission date: 18 September 2011.

Abstract:

We give a general criterion for the simplicity of the automorphism groups of certain Fraïssé limits and apply it to show that the isometry group of the Urysohn space modulo the normal subgroup of bounded isometries is a simple group.

Mathematics Subject Classification: 20B27 (Primary) 03C99, 54E50 (Secondary).

Keywords and phrases:

Full text arXiv 1109.3811: pdf, ps.