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Isoperimetric inequalities for nilpotent groups

S. M. Gersten·D. F. Holt·T. R. Riley
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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.

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S. M. Gersten, D. F. Holt, T. R. Riley. 2002-01-28. Isoperimetric inequalities for nilpotent groups. https://arxiv.org/abs/math/0201261

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