Geodesic
Hyperbolic monodromy groups for the hypergeometric equation and Cartan involutions
Journal of the European Mathematical Society, Tome 16 (2014) no. 8, pp. 1617-1671

Voir la notice de l'article provenant de la source EMS Press

We give a criterion which ensures that a group generated by Cartan involutions in the automorph group of a rational quadratic form of signature (n−1,1) is "thin", namely it is of infinite index in the latter. It is based on a graph defined on the integral Cartan root vectors, as well as Vinberg's theory of hyperbolic reflection groups. The criterion is shown to be robust for showing that many hyperbolic hypergeometric groups for n​Fn−1​ are thin.
DOI : 10.4171/jems/471
Classification : 20-XX
Keywords: Hypergeometric monodromy, hyperbolic groups, Cartan involutions 
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     title = {Hyperbolic monodromy groups for the hypergeometric equation and {Cartan} involutions},
     journal = {Journal of the European Mathematical Society},
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     year = {2014},
     doi = {10.4171/jems/471},
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Elena Fuchs; Chen Meiri; Peter Sarnak. Hyperbolic monodromy groups for the hypergeometric equation and Cartan involutions. Journal of the European Mathematical Society, Tome 16 (2014) no. 8, pp. 1617-1671. doi: 10.4171/jems/471

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