Higher divergence for nilpotent groups
Metric Geometry
2018-07-30 v1 Group Theory
Abstract
The higher divergence of a metric space describes its isoperimetric behaviour at infinity. It is closely related to the higher-dimensional Dehn functions, but has more requirements to the fillings. We prove that these additional requirements do not have an essential impact for many nilpotent Lie groups. As a corollary, we obtain the higher divergence of the Heisenberg groups in all dimensions.
Cite
@article{arxiv.1807.10305,
title = {Higher divergence for nilpotent groups},
author = {Moritz Gruber},
journal= {arXiv preprint arXiv:1807.10305},
year = {2018}
}
Comments
14 pages, 4 figures