Isoperimetric inequalities for nilpotent groups

SM Gersten, DF Holt, TR Riley

Research output: Contribution to journalArticle (Academic Journal)peer-review

15 Citations (Scopus)


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.
Translated title of the contributionIsoperimetric inequalities for nilpotent groups
Original languageEnglish
Pages (from-to)795 - 814
Number of pages20
JournalGeometric and Functional Analysis
Volume13 (4)
Publication statusPublished - Aug 2003

Bibliographical note

Publisher: Birkhäuser Basel
Other identifier: EISSN: 1420-8970 (Online)


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