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11-XX Number theory
11Rxx Algebraic number theory: global fields
11R70 $K$ -theory of global fields

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Bounds For Étale Capitulation Kernels II

Mohsen Asghari-Larimi, Abbas Movahhedi (2009)

Annales mathématiques Blaise Pascal

Let $p$ be an odd prime and $E / F$ a cyclic $p$ -extension of number fields. We give a lower bound for the order of the kernel and cokernel of the natural extension map between the even étale $K$ -groups of the ring of $S$ -integers of $E / F$ , where $S$ is a finite set of primes containing those which are $p$ -adic.

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