Super-exponential 2-dimensional Dehn functions

Super-exponential 2-dimensional Dehn functions

We produce examples of groups of type $\mathcal{F}_3$ with 2-dimensional Dehn functions of the form exp$^n(x)$ (a tower of exponentials of height $n$), where $n$ is any natural number.

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Veröffentlicht in:Groups, geometry and dynamics geometry and dynamics, 2012-01, Vol.6 (1), p.1-51
Hauptverfasser: Barnard, Josh, Brady, Noel, Dani, Pallavi
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Sprache:eng
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Functions (Mathematics)
Group theory and generalizations
Groups (Mathematics)
Manifolds and cell complexes
Mathematical research
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container_title Groups, geometry and dynamics
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creator Barnard, Josh
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description We produce examples of groups of type $\mathcal{F}_3$ with 2-dimensional Dehn functions of the form exp$^n(x)$ (a tower of exponentials of height $n$), where $n$ is any natural number.
doi_str_mv 10.4171/GGD/149
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subjects Functions (Mathematics)
Group theory and generalizations
Groups (Mathematics)
Manifolds and cell complexes
Mathematical research
title Super-exponential 2-dimensional Dehn functions
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