Isoperimetric inequalities for nilpotent groups

By S. Gersten, D. Holt, T. Riley. 2002

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AbstractWe 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.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/6216661626ece6e3b9ecce940c1025c6ec8b5fe3