RÉDEI FIELDS AND DYADIC EXTENSIONS

DOI10.1142/S1793042111003983zbMath1215.11104MaRDI QIDQ3085113

David Brink

Publication date: 28 March 2011

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

socleRédei-Reichardt theoremdyadic extensionRédei field

Mathematics Subject Classification ID

Galois theory (11R32) Quadratic extensions (11R11) Quadratic forms over global rings and fields (11E12) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Cites Work

• Five peculiar theorems on simultaneous representation of primes by quadratic forms
• Prodihedral groups as Galois groups over number fields
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• Discriminantal divisors of binary quadratic forms
• Charakterisierung der galoisschen Zahlkörper, deren zerlegte Primzahlen durch binäre quadratische Formen gegeben sind

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