Super-exponential 2-dimensional Dehn functions

Josh Barnard; Noel Brady; Pallavi Dani

doi:10.4171/ggd/149

JournalsggdVol. 6, No. 1pp. 1–51

Super-exponential 2-dimensional Dehn functions

Josh Barnard
University of South Alabama, Mobile, USA
- MathSciNet
- zbMATH Open
Noel Brady
University of Oklahoma, Norman, United States
- MathSciNet
- zbMATH Open
Pallavi Dani
Louisiana State University, Baton Rouge, USA
- MathSciNet
- zbMATH Open

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Abstract

We produce examples of groups of type $F_{3}$ with 2-dimensional Dehn functions of the form exp $^{n} (x)$ (a tower of exponentials of height $n$ ), where $n$ is any natural number.

Cite this article

Josh Barnard, Noel Brady, Pallavi Dani, Super-exponential 2-dimensional Dehn functions. Groups Geom. Dyn. 6 (2012), no. 1, pp. 1–51

DOI 10.4171/GGD/149