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The integral logarithm in Iwasawa theory : an exercise

Jürgen RitterAlfred Weiss — 2010

Journal de Théorie des Nombres de Bordeaux

Let l be an odd prime number and H a finite abelian l -group. We describe the unit group of Λ [ H ] (the completion of the localization at l of l [ [ T ] ] [ H ] ) as well as the kernel and cokernel of the integral logarithm L : Λ [ H ] × Λ [ H ] , which appears in non-commutative Iwasawa theory.

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