@article{10_4007_annals_2011_174_2_7, author = {Emmanuel Breuillard}, title = {A height gap theorem for finite subsets of $\mathrm{GL}_{d}(\overline{\Bbb{Q}})$ and nonamenable subgroups}, journal = {Annals of mathematics}, pages = {1057--1110}, publisher = {mathdoc}, volume = {174}, number = {2}, year = {2011}, doi = {10.4007/annals.2011.174.2.7}, mrnumber = {2831113}, zbl = {05960722}, language = {en}, url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2011.174.2.7/} }