Snowflake geometry in CAT(0) groups
Group Theory
2017-09-20 v2 Geometric Topology
Abstract
We construct CAT(0) groups containing subgroups whose Dehn functions are given by , for a dense set of numbers . This significantly expands the known geometric behavior of subgroups of CAT(0) groups.
Keywords
Cite
@article{arxiv.1602.08379,
title = {Snowflake geometry in CAT(0) groups},
author = {Noel Brady and Max Forester},
journal= {arXiv preprint arXiv:1602.08379},
year = {2017}
}
Comments
48 pages, 13 figures. v2: minor corrections; to appear in Journal of Topology