
arXiv: 0711.0604
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.
11R23, Mathematics - Number Theory, Iwasawa \(L\)-functions, FOS: Mathematics, Integral representations related to algebraic numbers; Galois module structure of rings of integers, Zeta functions and \(L\)-functions of number fields, Number Theory (math.NT), 11R23; 11R42, Iwasawa theory, 11R42
11R23, Mathematics - Number Theory, Iwasawa \(L\)-functions, FOS: Mathematics, Integral representations related to algebraic numbers; Galois module structure of rings of integers, Zeta functions and \(L\)-functions of number fields, Number Theory (math.NT), 11R23; 11R42, Iwasawa theory, 11R42
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