A Mordell-Weil theorem for abelian varieties over fields generated by torsion points

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74545If A is an abelian variety over a number field K, and L is a (possibly infinite) extension of K generated by torsion points of A, then the quotient of A(L) by its torsion subgroup is a free abelian group.8 pagesNumber Theory11G10; 11R34A Mordell-Weil theorem for abelian varieties over fields generated by torsion pointstext