[Authors]
 P. J. Cameron and A. M. Vershik

[Title]
 Some isometry groups of Urysohn space

[AMS Subj-class]
 20B27 Infinite automorphism groups
 51F99 Metric geometry

[Abstract]
 We construct various isometry groups of Urysohn space (the unique
 complete separable metric space which is universal and homogeneous),
 including abelian groups which act transitively, and free groups
 which are dense in the full isometry group.

[Comments]
 LaTeX, English, 12 pp.

[Contact e-mail]
 vershik@pdmi.ras.ru