Isoperimetric inequalities for nilpotent groups

Details Isoperimetric inequalities for nilpotent groups Isoperimetric inequalities for nilpotent groups

2002-01-28

arxiv.org/abs/math/0201261v1

Geometric And Functional Analysis , 13, pages 795-814, 2003

Mathematics

Group Theory

20 pages, no figures

Scientific paper

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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