Groups, Geometry, and Dynamics


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Volume 5, Issue 3, 2011, pp. 683–690
DOI: 10.4171/GGD/144

Published online: 2011-06-18

Homological and homotopical higher-order filling functions

Robert Young[1]

(1) University of Toronto, Canada

We construct groups in which $FV^3(n)\nsim \delta^2(n)$. This construction also leads to groups $G_k$, $k\ge 3$, for which $\delta^{k}(n)$ is not subrecursive.

Keywords: Dehn functions, filling invariants

Young Robert: Homological and homotopical higher-order filling functions. Groups Geom. Dyn. 5 (2011), 683-690. doi: 10.4171/GGD/144