Abstract
Let l be an odd prime and K / k a Galois extension of totally real fields with Galois group G such that K / k ∞ and k / Q are finite. We reduce the conjectured triviality of the reduced Whitehead group S K 1 ( Q G ) of the algebra Q G = Quot ( Λ G ) with the Iwasawa algebra Λ G = Z l [ [ G ] ] to the case of pro- l Galois groups G and finite unramified coefficient extensions.
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