Equivariant Iwasawa main conjecture Sample Clauses

Equivariant Iwasawa main conjecture. We now assume that the extension 𝐸∞/𝐾 is Galois with Galois group Gal(𝐸∞/𝐾 ) 𝐸 × Γ where Γ = Gal(𝐸∞/𝐸) Z𝑝 . For simplicity we will assume that all archimedean places of 𝐾 split completely in 𝐸. Since this hypothesis is customary in the theory of Euler systems we reassure the reader that this restriction will not impact the exposition in the sequel. For a more general treatment we refer the reader to [BKS17, §3].
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