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arXiv · 1212.2855

Graev ultrametrics and free products of Polish groups

Konstantin Slutsky
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Abstract

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.

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Konstantin Slutsky. 2012-12-12. Graev ultrametrics and free products of Polish groups. https://arxiv.org/abs/1212.2855

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