Fractions continues et actions des groupes de congruence sur la droite réelle

Troessaert , Cedric

Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, p. 669-680 / Harvested from Project Euclid

Résumé

We characterize the orbits of the principal congruence subgroup $\Gamma(n)$ of $GL_2(\bbZ)$ acting by fractional linear transformations on the real line. The characterization is in terms of congruence properties $\pmod{n}$ of the numerators and denominators of the convergents of some number in a given orbit.

Publié le : 2007-11-14
Classification:

@article{1195157135,
     author = {Troessaert , Cedric},
     title = {Fractions continues et actions des groupes de congruence sur la droite r\'eelle},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {13},
     number = {5},
     year = {2007},
     pages = { 669-680},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1195157135}
}

Troessaert , Cedric. Fractions continues et actions des groupes de congruence sur la droite réelle. Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, pp.  669-680. http://gdmltest.u-ga.fr/item/1195157135/