2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60484We prove that the density of ramified primes in semisimple p-adic representations of Galois groups of number fields is 0. Ravi Ramakrishna has produced examples of such representations that are infinitely ramified.Number TheoryThe density of ramified primes in semisimple p-adic Galois representationstext