Nous calculons, en fonction des paramètres arithmétiques décris par Borel, les sous-groupes finis d’un groupe de Klein arithmétique maximal. Ceci est notamment appliquable à l’étude des 3-variétés arithmétiques hyperboliques.
Given a maximal arithmetic Kleinian group , we compute its finite subgroups in terms of the arithmetic data associated to by Borel. This has applications to the study of arithmetic hyperbolic 3-manifolds.
@article{AIF_2000__50_6_1765_0, author = {Chinburg, Ted and Friedman, Eduardo}, title = {The finite subgroups of maximal arithmetic kleinian groups}, journal = {Annales de l'Institut Fourier}, volume = {50}, year = {2000}, pages = {1765-1798}, doi = {10.5802/aif.1807}, mrnumber = {2002g:11162}, zbl = {0973.20040}, language = {en}, url = {http://dml.mathdoc.fr/item/AIF_2000__50_6_1765_0} }
Chinburg, Ted; Friedman, Eduardo. The finite subgroups of maximal arithmetic kleinian groups. Annales de l'Institut Fourier, Tome 50 (2000) pp. 1765-1798. doi : 10.5802/aif.1807. http://gdmltest.u-ga.fr/item/AIF_2000__50_6_1765_0/
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