Under the narrow genus field hypothesis on abelian K, the paper constructs a Lambda-basis for the Iwasawa module lim Was(K_k^+) and a Z[1/2]-basis for Was(K) tensor Z[1/2].
The circular units and the Stickelberger ideal of a cyclotomic field revisited
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Bases for some modules of cyclotomic units
Under the narrow genus field hypothesis on abelian K, the paper constructs a Lambda-basis for the Iwasawa module lim Was(K_k^+) and a Z[1/2]-basis for Was(K) tensor Z[1/2].