Modular embeddings and rigidity for Fuchsian groups

• Autorzy: Robert A. Kucharczyk
• Języki publikacji: EN

Abstrakty

EN

We prove a rigidity theorem for semiarithmetic Fuchsian groups: If Γ₁, Γ₂ are two semiarithmetic lattices in PSL(2,ℝ ) virtually admitting modular embeddings, and f: Γ₁ → Γ₂ is a group isomorphism that respects the notion of congruence subgroups, then f is induced by an inner automorphism of PGL(2,ℝ ).

Kategorie tematyczne

• 20D60: Arithmetic and combinatorial problems
• 20H10: Fuchsian groups and their generalizations
• 11F06: Structure of modular groups and generalizations; arithmetic groups
• 14G35: Modular and Shimura varieties
• 22E40: Discrete subgroups of Lie groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2015
• Tom: 169
• Numer: 1
• Strony: 77-100

Daty

wydano

2015

Twórcy

autor

Robert A. Kucharczyk

• Mathematisches Institut, Universität Bonn, Endenicher Allee 60, 53115 Bonn, Germany

Identyfikatory

DOI

10.4064/aa169-1-5