Super-exponential 2-dimensional Dehn functions
Group Theory
2010-02-22 v2 Geometric Topology
Abstract
We produce examples of groups of type F_3 with 2-dimensional Dehn functions of the form exp^n(x) (a tower of exponentials of height n), where n is any natural number.
Cite
@article{arxiv.0902.0082,
title = {Super-exponential 2-dimensional Dehn functions},
author = {Josh Barnard and Noel Brady and Pallavi Dani},
journal= {arXiv preprint arXiv:0902.0082},
year = {2010}
}
Comments
Final version: 45 pages, 19 color figures, incorporates referee's comments; to appear in Groups, Geometry, and Dynamics