TY - JOUR AU - Emmanuel Breuillard TI - A height gap theorem for finite subsets of $\mathrm{GL}_{d}(\overline{\Bbb{Q}})$ and nonamenable subgroups JO - Annals of mathematics PY - 2011 SP - 1057 EP - 1110 VL - 174 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4007/annals.2011.174.2.7/ DO - 10.4007/annals.2011.174.2.7 LA - en ID - 10_4007_annals_2011_174_2_7 ER -