Geometric & Functional Analysis GAFA

, Volume 13, Issue 4, pp 795–814 | Cite as

Isoperimetric inequalities for nilpotent groups

  • Steve M. GerstenEmail author
  • Derek F. Holt
  • Tim R. Riley
Original Article


We prove that every finitely generated nilpotent group of class c admits a polynomial isoperimetric function of degree c + 1 and a linear upper bound on its filling length function.


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Mathematics Subject Classification (2000).

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Copyright information

© Birkhäuser-Verlag 2003

Authors and Affiliations

  • Steve M. Gersten
    • 1
    Email author
  • Derek F. Holt
    • 2
  • Tim R. Riley
    • 3
  1. 1.Department of MathematicsUniversity of UtahSalt Lake CityUSA
  2. 2.Department of MathematicsUniversity of WarwickCoventryUK
  3. 3.Department of MathematicsYale UniversityNew HavenUSA

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