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math.GRJan 28, 2002
2
citations (OpenAlex)
authors
  • S. M. Gersten
  • D. F. Holt
  • T. R. Riley
arXiv abstractPDF
paper

Isoperimetric inequalities for nilpotent groups

arXiv:math/0201261

Abstract

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.

20 pages, no figures

Cited by in corpus (1)

  • The isocohomological property, higher Dehn functions, and relatively hyperbolic groups
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