Isoperimetry in finitely generated groups

DOI10.1007/978-3-031-43510-2_12zbMath1548.20071MaRDI QIDQ6610774

Bruno Luiz Santos Correia, Marc Troyanov

Publication date: 26 September 2024

zbMATH Keywords

growthisoperimetric inequalityfinitely generated groupsLambert \(W\)-functionFølner function

Mathematics Subject Classification ID

Geometric group theory (20F65) Asymptotic properties of groups (20F69)

Cites Work

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• Growth behaviors in the range \(e^{r^\alpha}\).
• Isoperimetricity for groups and manifolds
• Discrete groups, expanding graphs and invariant measures. Appendix by Jonathan D. Rogawski
• On the Lambert \(w\) function
• The principal branch of the Lambert \(W\) function
• Growth of periodic Grigorchuk groups
• Probability on Trees and Networks
• Milnor's Problem on the Growth of Groups and its Consequences
• Amenability of Groups and G-Sets
• Topics in Groups and Geometry
• The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups
• An inequality related to the isoperimetric inequality
• Analysis on Lie groups
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu

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