Intrinsic tame filling functions are equivalent to intrinsic diameter functions
Group Theory
2021-03-23 v1
Abstract
Intrinsic tame filling functions are quasi-isometry invariants that are refinements of the intrinsic diameter function of a group. The main purpose of this paper is to show that every finite presentation of a group has an intrinsic tame filling function that is equivalent to its intrinsic diameter function. We also introduce some alternative filling functions--based on concepts similar to those used to define intrinsic tame filling functions--that are potential proper refinements of the intrinsic diameter function.
Keywords
Cite
@article{arxiv.2103.11507,
title = {Intrinsic tame filling functions are equivalent to intrinsic diameter functions},
author = {Andrew Hayes},
journal= {arXiv preprint arXiv:2103.11507},
year = {2021}
}
Comments
30 pages, 14 figures