Hilbert space compression for free products and HNN-extensions
Group Theory
2010-07-07 v3
Abstract
Given the Hilbert space compression of two groups, we find bounds on the Hilbert space compression of their free product. We also investigate the Hilbert space compression of an HNN-extension of a group relative to a finite normal subgroup or a finite index subgroup.
Cite
@article{arxiv.1002.3879,
title = {Hilbert space compression for free products and HNN-extensions},
author = {Dennis Dreesen},
journal= {arXiv preprint arXiv:1002.3879},
year = {2010}
}
Comments
18 pages