Superexponential Dehn functions inside CAT(0) groups

We construct 4-dimensional CAT(0) groups containing finitely presented subgroups whose Dehn functions are \(\exp^{(n)}(x^m)\) for integers \(n, m \geq 1\) and 6-dimensional CAT(0) groups containing finitely presented subgroups whose Dehn functions are \(\exp^{(n)}(x^\alpha)\) for integers \(n \geq 1...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Brady, Noel, Hung Cong Tran
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 06.07.2022
Subjects
Integers
Subgroups
Online AccessGet full text

Cover

More Information
Summary:We construct 4-dimensional CAT(0) groups containing finitely presented subgroups whose Dehn functions are \(\exp^{(n)}(x^m)\) for integers \(n, m \geq 1\) and 6-dimensional CAT(0) groups containing finitely presented subgroups whose Dehn functions are \(\exp^{(n)}(x^\alpha)\) for integers \(n \geq 1\) and \(\alpha\) dense in \([1,\infty)\). This significantly expands the known geometric behavior of subgroups of CAT(0) groups.
ISSN:2331-8422