Modular embeddings and rigidity for Fuchsian groups

Robert A. Kucharczyk. "Modular embeddings and rigidity for Fuchsian groups." Acta Arithmetica 169.1 (2015): 77-100. <http://eudml.org/doc/286079>.

@article{RobertA2015,
abstract = {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 ).},
author = {Robert A. Kucharczyk},
journal = {Acta Arithmetica},
keywords = {semiarithmetic Fuchsian groups; rigidity; modular embeddings; congruence subgroups; arithmetic groups; semiarithmetic groups; semiarithmetic lattices},
language = {eng},
number = {1},
pages = {77-100},
title = {Modular embeddings and rigidity for Fuchsian groups},
url = {http://eudml.org/doc/286079},
volume = {169},
year = {2015},
}

TY - JOUR
AU - Robert A. Kucharczyk
TI - Modular embeddings and rigidity for Fuchsian groups
JO - Acta Arithmetica
PY - 2015
VL - 169
IS - 1
SP - 77
EP - 100
AB - 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 ).
LA - eng
KW - semiarithmetic Fuchsian groups; rigidity; modular embeddings; congruence subgroups; arithmetic groups; semiarithmetic groups; semiarithmetic lattices
UR - http://eudml.org/doc/286079
ER -