2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61185We exhibit, for n at least 5, infinitely many quadratic number fields admitting unramified degree n extensions with prescribed signature whose normal closures have Galois group A_n. This generalizes a result of Uchida and Yamamoto, which did not include the ability to restrict the signature, and a result of Yamamura, which was the case n=5.4 pagesNumber Theory11S15; 11S05, 12F05Unramified alternating extensions of quadratic fieldstext