On the “main Conjecture” of Equivariant Iwasawa Theory
نویسنده
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)).
منابع مشابه
On the Equivariant Main Conjecture of Iwasawa Theory
Refining results of David Burns and Cornelius Greither, respectively Annette Huber and Guido Kings, we formulate and prove an equivariant version of the main conjecture of Iwasawa theory for abelian number fields.
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