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ISOPERIMETRIC INEQUALITIES IN NILPOTENT GROUPS

Published online by Cambridge University Press:  01 June 1997

CHRISTOPHE PITTET
CHRISTOPHE PITTET
Affiliation:
Laboratoire de Mathematiques E. Picard, Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse Cedex 4, France. E-mail: pittet@picard.ups-tlse.fr
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Abstract

To each finitely generated nilpotent group Γ, we associate an integer d and show that the 2-dimensional isoperimetric function (the Dehn function) of Γ is bounded below by a polynomial function of degree d. In the case of free nilpotent groups of class c we find (if we exclude ℤ) that d=c+1.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 55 , Issue 3 , June 1997 , pp. 588 - 600
Copyright
The London Mathematical Society 1997

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