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arXiv · 0711.0600

The integral logarithm in Iwasawa theory: an exercise

Jürgen Ritter·Alfred Weiss
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Abstract

Let $l$ be an odd prime number and $H$ a finite abelian $l$-group. We determine the unit group of $Λ_\wedge[H]$ (the completion of the localization at $l$ of $\Bbb{Z}_l[[T]][H]$) as well as the kernel and cokernel of the integral logarithm $L:Λ_\wedge[H]^\times\to Λ_\wedge[H]$, which appears in non-commutative Iwasawa theory.

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Jürgen Ritter, Alfred Weiss. 2007-11-05. The integral logarithm in Iwasawa theory: an exercise. https://arxiv.org/abs/0711.0600

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