Super-exponential 2-dimensional Dehn functions

  • Josh Barnard

    University of South Alabama, Mobile, USA
  • Noel Brady

    University of Oklahoma, Norman, United States
  • Pallavi Dani

    Louisiana State University, Baton Rouge, USA


We produce examples of groups of type F3\mathcal{F}_3 with 2-dimensional Dehn functions of the form expn(x)^n(x) (a tower of exponentials of height nn), where nn is any natural number.

Cite this article

Josh Barnard, Noel Brady, Pallavi Dani, Super-exponential 2-dimensional Dehn functions. Groups Geom. Dyn. 6 (2012), no. 1, pp. 1–51

DOI 10.4171/GGD/149