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Bounds For Étale Capitulation Kernels II

Mohsen Asghari-LarimiAbbas 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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