Representation growth and representation zeta functions of groups

zbMath1279.22028arXiv1209.2896MaRDI QIDQ2856430

Benjamin Klopsch

Publication date: 28 October 2013

Full work available at URL: https://arxiv.org/abs/1209.2896

zbMATH Keywords

charactersrepresentationszeta functionsarithmetic groups\(p\)-adic Lie groups

Mathematics Subject Classification ID

Asymptotic properties of groups (20F69) Representations of Lie and linear algebraic groups over local fields (22E50) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (9)

Stability results for local zeta functions of groups algebras, and modules ⋮ A Framework for Computing Zeta Functions of Groups, Algebras, and Modules ⋮ Groups acting on rooted trees and their representations on the boundary ⋮ Topological representation zeta functions of unipotent groups ⋮ The growth of abelian sections ⋮ Representation growth of compact linear groups ⋮ Zeta functions of groups and rings -- functional equations and analytic uniformity ⋮ Zeta functions associated to admissible representations of compact 𝑝-adic Lie groups ⋮ Uniform analytic properties of representation zeta functions of finitely generated nilpotent groups

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