Rational and genus equivalence of forms

DOI10.1016/0022-314X(87)90057-6zbMath0636.10016MaRDI QIDQ1097908

Stanley J. Gurak

Publication date: 1987

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

zbMATH Keywords

ordergroup structurefinite extensionrational equivalencenormal extensionsfull decomposable formsgenus of forms

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Quadratic forms over global rings and fields (11E12) Class field theory (11R37)

Cites Work

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• Zur Auflösung zahlentheoretischer Knoten
• On the representation theory for full decomposable forms
• On the rational equivalence of full decomposable forms
• Abundant central extensions of non-trivial genera
• Central extensions and Schur’s multiplicators of Galois groups
• The Hasse norm principle for Abelian extensions of number fields
• Ideal-theoretic characterization of the relative genus field.
• Invariants of the ideal class group and the Hasse norm theorem.
• The Hasse Norm Principle in Metacyclic Extensions of Number Fields
• The Genus Field and Genus Number in Algebraic Number Fields
• Zur Geschlechtertheorie in abelschen Zahlkörpern

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