Homological and homotopical higher-order filling functions

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)683-690
Number of pages8
JournalGroups, Geometry, and Dynamics
Issue number3
StatePublished - 2011


  • Dehn functions
  • Filling invariants

ASJC Scopus subject areas

  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

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