2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70685Let A be a CM abelian variety defined over a number field K. We compute congruence relations on units in fields generated by adjoining torsion points of A to K. For elliptic curves, congruence relations of the type we compute were used in the proof of the Coates-Wiles theorem. In general, we compute congruence relations on exterior products of units in division fields. This result seems to fit more naturally into the framework of the Stark/Rubin conjectures.23 pages, 2 figuresNumber Theory11G10, 11G15 (Primary) 11R27 (Secondary)text