The Bloch-Kato Conjecture and Galois Theory

Published 27 Dec 2010 in math.NT, math.GR, and math.KT | (1012.5631v4)

Abstract: We investigate the relations in Galois groups of maximal p-extensions of fields, the structure of their natural filtrations, and their relationship with the Bloch-Kato conjecture proved by Rost and Voevodsky with Weibel's patch. Our main focus is on the third degree, but we provide examples for all degrees.

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