岩泽理论中的积分对数：一个练习
The integral logarithm in Iwasawa theory: an exercise
摘要：
设$l$是奇素数，$H$是有限交换$l$ -群.我们确定了$Λ_\wedge[H]$的单位群（$\Bbb{Z}_l[[T]][H]$在$l$上的局部化的完成）以及非对易岩泽理论中出现的整数对数$L:Λ_\wedge[H]^\times\to Λ_\wedge[H]$的核和上核.
英文摘要：
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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