On the Isoperimetric Inequality in Finitely Generated Groups
Bruno Luiz Santos Correia, Marc Troyanov
TL;DR
This paper refines the isoperimetric inequality for finitely generated groups, providing a sharper version based on Gromov's proof, enhancing understanding of geometric group properties.
Contribution
It introduces a more precise form of the isoperimetric inequality for finitely generated groups, building on Gromov's approach.
Findings
A sharper isoperimetric inequality for finitely generated groups
Improved bounds based on Gromov's proof
Enhanced understanding of geometric properties of groups
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.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Operator Algebra Research · Mathematics and Applications