Geometric & Functional Analysis GAFA

, Volume 10, Issue 5, pp 1053–1070 | Cite as

There is only one gap in the isoperimetric spectrum

  • N. Brady
  • M.R. Bridson


The closure of the set of isoperimetric exponents for finitely presented groups is \( \{1\} \cup [2,\infty \). For each pair of positive integers \( p \ge q \), one can construct groups with aspherical presentations for which the Dehn function is \( \simeq n^{2\alpha} \), where \( \alpha\,=\{\rm log}_{2}(2p/q) \).


Positive Integer Construct Group Dehn Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Birkhäuser Verlag, Basel 2000

Authors and Affiliations

  • N. Brady
    • 1
  • M.R. Bridson
    • 2
  1. 1.Department of Mathematics, University of Oklahoma, Norman, OK 73019, USA, e-mail: nbrady@math.ou.eduUS
  2. 2.Mathematical Institute, 24—29 St Giles', Oxford, OX1 3LB, UK, e-mail:

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