Equivariant Iwasawa Theory: An Example

The equivariant main conjecture of Iwasawa theory is shown to hold for a Galois extension $K/k$ of totally real 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.

2000 Mathematics Subject Classification: 11R23, 11R32, 11R42

Keywords and Phrases: Iwasawa theory, Iwasawa $L$-functions

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