We show that for an odd prime p, the p-primary parts of refinements of the(imprimitive) non-abelian Brumer and Brumer-Stark conjectures are implied bythe equivariant Iwasawa main conjecture (EIMC) for totally real fields.Crucially, this result does not depend on the vanishing of the relevant Iwasawamu-invariant. In combination with the authors' previous work on the EIMC, thisleads to unconditional proofs of the non-abelian Brumer and Brumer-Starkconjectures in many new cases.
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