\BOOKMARK [1][-]{section.1}{Introduction}{} \BOOKMARK [1][-]{section.2}{Preliminaries}{} \BOOKMARK [1][-]{section.3}{The subgroup of rational cycles}{} \BOOKMARK [1][-]{section.4}{Applications to Severi-Brauer varieties}{} \BOOKMARK [1][-]{section.5}{Generalized Severi-Brauer varieties}{} \BOOKMARK [1][-]{section.6}{The proof of \(11\)}{} \BOOKMARK [1][-]{section.7}{Grassmannian `39`42`"613A``45`47`"603AG\(2,n\)}{}