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arXiv:1212.2855 [math.GR]AbstractReferencesReviewsResources

Graev ultrametrics and free products of Polish groups

Konstantin Slutsky

Published 2012-12-12, updated 2013-10-10Version 2

We construct Graev ultrametrics on free products of groups with two-sided invariant ultrametrics and HNN extensions of such groups. We also introduce a notion of a free product of general Polish groups and prove, in particular, that two Polish groups G and H can be embedded into a Polish group T in such a way that the subgroup of T generated by G and H is isomorphic to the free product G*H.

Comments: 19 pages, 12 figures
Categories: math.GR, math.LO
Subjects: 20E06, 54H11, 54H05, 03E15
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