Capitulation, ambiguous classes and the cohomology of the units
Cristian D. Gonzalez-Aviles
Abstract
This paper presents results on both the kernel and cokernel of the S-capitulation map CF,S CK,SG 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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