Capitulation, ambiguous classes and the cohomology of the units
Abstract
Description
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)
Footnote added to statement of Theorem 4.1, and other minor changes. 20 pages
Footnote added to statement of Theorem 4.1, and other minor changes. 20 pages