Explicit local reciprocity for tame extensions

DOI10.1017/S0305004111000764zbMath1296.11161arXiv1001.2233OpenAlexW2102523044MaRDI QIDQ2883236

Rachel Newton

Publication date: 11 May 2012

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.2233

zbMATH Keywords

local fieldtame extensionlocal reciprocity map

Mathematics Subject Classification ID

Galois cohomology (12G05) Ramification and extension theory (11S15) Brauer groups (algebraic aspects) (16K50) Class field theory; (p)-adic formal groups (11S31)

Cites Work

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• The Brauer-Hasse-Noether theorem in historical perspective
• The explicit reciprocity law in local class field theory
• Higher explicit reciprocity laws
• Über \({\mathfrak p}\)-adische Schiefkörper und ihre Bedeutung für die Arithmetik hyperkomplexer Zahlsysteme
• On explicit formulas for the norm residue symbol
• An Elementary Proof of the Kronecker-Weber Theorem

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