The Geometry of the Handlebody Groups II: Dehn functions
Group Theory
2018-05-01 v1 Geometric Topology
Metric Geometry
Abstract
We show that the Dehn function of the handlebody group is exponential in any genus . On the other hand, we show that the handlebody group of genus is cubical, biautomatic, and therefore has a quadratic Dehn function.
Cite
@article{arxiv.1804.11133,
title = {The Geometry of the Handlebody Groups II: Dehn functions},
author = {Ursula Hamenstädt and Sebastian Hensel},
journal= {arXiv preprint arXiv:1804.11133},
year = {2018}
}
Comments
29 pages, 8 figures