arXiv:1012.5631 Abstract | arXiv Analytics

arXiv:1012.5631 [math.NT]Abstract References Reviews Resources

The Bloch-Kato Conjecture and Galois Theory

Dikran Karagueuzian, John Labute, Jan Minac

Published 2010-12-27, updated 2011-02-09Version 4

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.

Comments: Corrected typos

Categories: math.NT, math.GR, math.KT

Subjects: 11R32, 11R70, 20F40, 20F14

Keywords: bloch-kato conjecture, galois theory, galois groups, third degree, main focus

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