On the “main Conjecture” of Equivariant Iwasawa Theory
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چکیده
The “main conjecture” of equivariant Iwasawa theory concerns the situation where • l is a fixed odd prime number and K/k is a Galois extension of totally real number fields with k/Q and K/k∞ finite, where k∞/k is the cyclotomic Zl-extension (we set G = G(K/k) and Γk = G(k∞/k)), • S is a fixed finite set (which will normally be suppressed in the notation) of primes of k containing all primes which ramify in K and all archimedean primes, and M is the maximal abelian l-extension of K unramified outside S (we set X = G(M/K)).
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On the Equivariant Main Conjecture of Iwasawa Theory
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