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.
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.
@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}, pages = {1765--1798}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {50}, number = {6}, year = {2000}, doi = {10.5802/aif.1807}, zbl = {0973.20040}, mrnumber = {2002g:11162}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1807/} }
TY - JOUR AU - Chinburg, Ted AU - Friedman, Eduardo TI - The finite subgroups of maximal arithmetic kleinian groups JO - Annales de l'Institut Fourier PY - 2000 SP - 1765 EP - 1798 VL - 50 IS - 6 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1807/ DO - 10.5802/aif.1807 LA - en ID - AIF_2000__50_6_1765_0 ER -
%0 Journal Article %A Chinburg, Ted %A Friedman, Eduardo %T The finite subgroups of maximal arithmetic kleinian groups %J Annales de l'Institut Fourier %D 2000 %P 1765-1798 %V 50 %N 6 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.1807/ %R 10.5802/aif.1807 %G en %F AIF_2000__50_6_1765_0
Chinburg, Ted; Friedman, Eduardo. The finite subgroups of maximal arithmetic kleinian groups. Annales de l'Institut Fourier, Volume 50 (2000) no. 6, pp. 1765-1798. doi : 10.5802/aif.1807. https://aif.centre-mersenne.org/articles/10.5802/aif.1807/
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