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arxiv: 1408.4934 · v4 · pith:D2RVZSXKnew · submitted 2014-08-21 · 🧮 math.NT

Hybrid Iwasawa algebras and the equivariant Iwasawa main conjecture

classification 🧮 math.NT
keywords iwasawaconjectureequivariantmainalgebrasclasscruciallydepend
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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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