On the Isoperimetric Inequality in Finitely Generated Groups

2021/10/29 by Bruno Luiz Santos Correia, Marc Troyanov, Correia, Bruno Luiz Santos +1
Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Mathematics and Applications #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.2110.15798

openalex publication_date 2021/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a sharp version of the isoperimetric inequality for finitely generated groups due to T. Couhlon and L. Saloff-Coste based on the proof suggested by M. Gromov.

Related

• Isoperimetry in Finitely Generated Groups
• Coulhon Saloff-Coste isoperimetric inequalities for finitely generated groups
• The isoperimetric inequality
• Nonplanar isoperimetric inequality for random groups
• Isoperimetric inequalities in finitely generated groups