Homological and homotopical higher-order filling functions

Robert Young

doi:10.4171/ggd/144

JournalsggdVol. 5, No. 3pp. 683–690

Homological and homotopical higher-order filling functions

Robert Young
University of Toronto, Canada

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Abstract

We construct groups in which $F V^{3} (n) ≁ δ^{2} (n)$ . This construction also leads to groups $G_{k}$ , $k \geq 3$ , for which $δ^{k} (n)$ is not subrecursive.

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Robert Young, Homological and homotopical higher-order filling functions. Groups Geom. Dyn. 5 (2011), no. 3, pp. 683–690

DOI 10.4171/GGD/144