Homological and homotopical higher-order filling functions

Robert Young

doi:10.4171/GGD/144

Homological and homotopical higher-order filling functions

Robert Young

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We construct groups in which FV³(n) ≁ δ ²(n). This construction also leads to groups G_k, k ≥ 3, for which δ^k(n) is not subrecursive.

Original language	English (US)
Pages (from-to)	683-690
Number of pages	8
Journal	Groups, Geometry, and Dynamics
Volume	5
Issue number	3
DOIs	https://doi.org/10.4171/GGD/144
State	Published - 2011

Keywords

Dehn functions
Filling invariants

ASJC Scopus subject areas

Geometry and Topology
Discrete Mathematics and Combinatorics

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10.4171/GGD/144

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title = "Homological and homotopical higher-order filling functions",

abstract = "We construct groups in which FV3(n) ≁ δ 2(n). This construction also leads to groups Gk, k ≥ 3, for which δk(n) is not subrecursive.",

keywords = "Dehn functions, Filling invariants",

author = "Robert Young",

year = "2011",

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language = "English (US)",

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KW - Filling invariants

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Homological and homotopical higher-order filling functions

Abstract

Keywords

ASJC Scopus subject areas

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