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Capitulation, ambiguous classes and the cohomology of the units

Cristian D. Gonzalez-Aviles
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Abstract

This paper presents results on both the kernel and cokernel of the S-capitulation map C_{F,S}\ra C_{K,S}^{G} for arbitrary finite Galois extensions K/F (with Galois group G) and arbitrary finite sets of primes S of F (assumed to contain the archimedean primes in the number field case)

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Cristian D. Gonzalez-Aviles. 2006-07-10. Capitulation, ambiguous classes and the cohomology of the units. https://arxiv.org/abs/math/0605586

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