Relative Brauer group and pro-p Galois group of pre-p-henselian fields

DOI10.1142/S0219498815500875zbMath1332.12014OpenAlexW2046224086MaRDI QIDQ5251111

Ronie Peterson Dario, Antonio José Engler

Publication date: 22 May 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498815500875

zbMATH Keywords

Galois groupBrauer groupfree pro-\(p\) product\(p\)-Henselian valuation ring

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Valued fields (12J10)

Cites Work

• On the extension of real places
• On fields with finite Brauer groups
• p-Henselian fields: K-theory, Galois cohomology, and graded Witt rings
• Finitely generated pro-\(p\)-groups as Galois groups of maximal \(p\)-extensions of function fields over \(\mathbb{Q}_ q\)
• On free products of an absolute Galois group
• Freie Produkte pro-endlicher Gruppen und ihre Kohomologie
• Abelian subgroups of pro-$p$ Galois groups

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