Hilbert space compression under direct limits and certain group extensions
Group Theory
2010-09-15 v2
Abstract
We find bounds on the Hilbert space compression of the limit of a directed metric system of groups. We also give estimates on the Hilbert space compression of group extensions of a group by a a word-hyperbolic group or a group of polynomial growth.
Cite
@article{arxiv.1009.2014,
title = {Hilbert space compression under direct limits and certain group extensions},
author = {Dennis Dreesen},
journal= {arXiv preprint arXiv:1009.2014},
year = {2010}
}