Geodesic
Modular embeddings and rigidity for Fuchsian groups
Robert A. Kucharczyk1
1 Mathematisches Institut Universität Bonn Endenicher Allee 60 53115 Bonn, Germany
Acta Arithmetica, Tome 169 (2015) no. 1, pp. 77-100

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove a rigidity theorem for semiarithmetic Fuchsian groups: If $\varGamma_1$, $\varGamma_2$ are two semiarithmetic lattices in ${\rm PSL}(2,\mathbb R )$ virtually admitting modular embeddings, and $f\colon\varGamma_1\to\varGamma_2$ is a group isomorphism that respects the notion of congruence subgroups, then $f$ is induced by an inner automorphism of ${\rm PGL}(2,\mathbb R )$.
DOI : 10.4064/aa169-1-5
Keywords: prove rigidity theorem semiarithmetic fuchsian groups vargamma vargamma semiarithmetic lattices psl mathbb virtually admitting modular embeddings colon vargamma vargamma group isomorphism respects notion congruence subgroups induced inner automorphism nbsp pgl mathbb

Robert A. Kucharczyk 1

1 Mathematisches Institut Universität Bonn Endenicher Allee 60 53115 Bonn, Germany 
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Robert A. Kucharczyk. Modular embeddings and rigidity for Fuchsian groups. Acta Arithmetica, Tome 169 (2015) no. 1, pp. 77-100. doi: 10.4064/aa169-1-5

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