Equivariant Iwasawa theory: an example

Jürgen Ritter; Alfred Weiss

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arXiv · 0711.0604

Equivariant Iwasawa theory: an example

Jürgen Ritter·Alfred Weiss

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Abstract

The 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.

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Jürgen Ritter, Alfred Weiss. 2007-11-05. Equivariant Iwasawa theory: an example. https://arxiv.org/abs/0711.0604

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