The integral logarithm in Iwasawa theory: an exercise

Details The integral logarithm in Iwasawa theory: an exercise The integral logarithm in Iwasawa theory: an exercise

2007-11-05

arxiv.org/abs/0711.0600v1

Mathematics

Number Theory

Scientific paper

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

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