On the profinite rigidity of triangle groups

DOI10.1112/blms.12546zbMath1523.20089arXiv2004.07137OpenAlexW3199873176MaRDI QIDQ6175071

Alan W. Reid, Martin R. Bridson, David B. McReynolds, Ryan Spitler

Publication date: 17 August 2023

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.07137

zbMATH Keywords

triangle groupsGalois rigidityprofinitely rigid groups

Mathematics Subject Classification ID

Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Limits, profinite groups (20E18)

Related Items (6)

The profinite completion of accessible groups ⋮ Profinite Rigidity and Free Groups ⋮ The finite and solvable genus of finitely generated free and surface groups ⋮ On quotients of Coxeter groups ⋮ Profinite genus of free products with finite amalgamation ⋮ Profinite rigidity, Kleinian groups, and the cofinite Hopf property

Cites Work

• Determining Fuchsian groups by their finite quotients
• The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning).
• Strong approximation for Zariski-dense subgroups of semi-simple algebraic groups
• Groups of integral representation type
• On Culler-Shalen seminorms and Dehn filling
• Absolute profinite rigidity and hyperbolic geometry
• Intrinsic moduli on Riemann surfaces
• Essential closed surfaces in bounded 3-manifolds
• PROFINITE RIGIDITY
• The Nielsen realization problem
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