Equivariant Iwasawa theory: an example

Details Equivariant Iwasawa theory: an example Equivariant Iwasawa theory: an example

2007-11-05

arxiv.org/abs/0711.0604v1

Documenta Mathematica 13 (2008), 117-129

Mathematics

Number Theory

Scientific paper

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 $\mu$-invariant $\mu(K/k)$ vanishes.

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