The Bloch-Kato Conjecture and Galois Theory
classification
🧮 math.NT
math.GRmath.KT
keywords
bloch-katoconjecturegaloisdegreedegreesexamplesfieldsfiltrations
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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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