# Hybrid Iwasawa algebras and the equivariant Iwasawa main conjecture

@article{Johnston2014HybridIA,
title={Hybrid Iwasawa algebras and the equivariant Iwasawa main conjecture},
author={Henri Johnston and Henri Nickel},
journal={American Journal of Mathematics},
year={2014},
volume={140},
pages={245 - 276}
}
• Published 21 August 2014
• Mathematics
• American Journal of Mathematics
Abstract: Let $p$ be an odd prime. We give an unconditional proof of the equivariant Iwasawa main conjecture for totally real fields for an infinite class of one-dimensional non-abelian $p$-adic Lie extensions. Crucially, this result does not depend on the vanishing of the relevant Iwasawa $\mu$-invariant.
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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 by the equivariant Iwasawa main conjecture (EIMC)
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