Equivariant Iwasawa theory: an example

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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