Geometric and Functional Analysis

, Volume 19, Issue 2, pp 406–422 | Cite as

The Dehn Function of Stallings’ Group

  • Will DisonEmail author
  • Murray Elder
  • Timothy R. Riley
  • Robert Young


We prove that the Dehn function of a group of Stallings that is finitely presented but not of type \({\mathcal{F}_3}\) is quadratic.

Keywords and phrases

Dehn function Stallings’ group isoperimetric function finiteness properties 

2000 Mathematics Subject Classification



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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2009

Authors and Affiliations

  • Will Dison
    • 1
    Email author
  • Murray Elder
    • 2
  • Timothy R. Riley
    • 1
  • Robert Young
    • 3
  1. 1.Department of MathematicsUniversity of Bristol, University WalkBristolUK
  2. 2.MathematicsUniversity of QueenslandBrisbaneAustralia
  3. 3.Institut des Hautes Études ScientifiquesBures-sur-YvetteFrance

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