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Equivariant Iwasawa theory and non-abelian Starck-type conjectures

URN to cite this document:
urn:nbn:de:bvb:355-epub-229650
Nickel, Andreas
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Date of publication of this fulltext: 19 Dec 2011 10:04


Abstract

We discuss three di�erent formulations of the equivariant Iwasawa main conjecture attached to an extension K/k of totally real �elds with Galois group G, where k is a number �eld and G is a p-adic Lie group of dimension 1 for an odd prime p. All these formulations are equivalent and hold if Iwasawa's μ-invariant vanishes. Under mild hypotheses, we use this to prove non-abelian generalizations of ...

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