Hydra groups
Group Theory
2015-03-13 v2
Abstract
We give examples of CAT(0), biautomatic, free-by-cyclic, one-relator groups which have finite-rank free subgroups of huge (Ackermannian) distortion. This leads to elementary examples of groups whose Dehn functions are similarly extravagant. This behaviour originates in manifestations of Hercules-versus-the-hydra battles in string-rewriting.
Keywords
Cite
@article{arxiv.1002.1945,
title = {Hydra groups},
author = {Will Dison and Tim Riley},
journal= {arXiv preprint arXiv:1002.1945},
year = {2015}
}
Comments
26 pages, 3 figures