2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165514The equivariant `main conjecture' of Iwasawa theory is shown to hold for a Galois extension $K/k$ of number fields with Galois group an $l$-adic pro-$l$ Lie group of dimension 1 containing an abelian subgroup of index $l$, provided that Iwasawa's $μ$-invariant $μ(K/k)$ vanishes.Number Theory11R23; 11R42text