2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65437In this note we relate the property of a semisimple l-adic Galois representation being "F-split" for a number field F to its having abelian image. By F-split we mean that the characteristic polynomials of Frobenii all split in F.Number Theory11RF-split Galois representations are potentially abeliantext