Capitulation, ambiguous classes and the cohomology of the units

Details Capitulation, ambiguous classes and the cohomology of the units Capitulation, ambiguous classes and the cohomology of the units

2006-05-22

arxiv.org/abs/math/0605586v3

Mathematics

Number Theory

Footnote added to statement of Theorem 4.1, and other minor changes. 20 pages

Scientific paper

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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