2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/157303This paper studies infinite class field towers of number fields $K$ that are ramified over $\Q$ only at one finite prime. In particular, we show the existence of such towers for a general family of primes including $p=2$, 3 and 5.5 pagesNumber Theory11R37; 11R34text