The Brin-Thompson groups sV are of type F_\infty
Group Theory
2014-03-19 v3 Geometric Topology
Abstract
We prove that the Brin-Thompson groups sV, also called higher dimensional Thompson's groups, are of type F_\infty for all natural numbers s. This result was previously shown for s up to 3, by considering the action of sV on a naturally associated space. Our key step is to retract this space to a subspace sX which is easier to analyze.
Keywords
Cite
@article{arxiv.1207.4832,
title = {The Brin-Thompson groups sV are of type F_\infty},
author = {Martin Fluch and Marco Marschler and Stefan Witzel and Matthew C. B. Zaremsky},
journal= {arXiv preprint arXiv:1207.4832},
year = {2014}
}
Comments
Final version, in Pacific J. Math., 10 pages, 4 figures