The Dehn function of Stallings' group

Will Dison, Murray Elder, Timothy R. Riley, Robert Young

Research output: Contribution to journalArticlepeer-review


We prove that the Dehn function of a group of Stallings that is finitely presented but not of type F3 is quadratic.

Original languageEnglish (US)
Pages (from-to)406-422
Number of pages17
JournalGeometric and Functional Analysis
Issue number2
StatePublished - Sep 2009


  • Dehn function
  • Finiteness properties
  • Isoperimetric function
  • Stallings' group

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology

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