Graev ultrametrics and free products of Polish groups
Group Theory
2013-10-11 v2 Logic
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.
Keywords
Cite
@article{arxiv.1212.2855,
title = {Graev ultrametrics and free products of Polish groups},
author = {Konstantin Slutsky},
journal= {arXiv preprint arXiv:1212.2855},
year = {2013}
}
Comments
19 pages, 12 figures