Stickelberger's criterion, Galois algebras, and tame ramification in algebraic number fields

DOI10.1016/0022-4049(84)90063-XzbMath0558.12001MaRDI QIDQ762550

Donald Maurer

Publication date: 1984

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

normal integral basiscyclotomic extensionStickelberger elementscongruence conditionstamely ramifiedarithmetic classificationcyclic Galois extensionGalois R-algebrasHarrison groupresolvant

Mathematics Subject Classification ID

Cyclotomic extensions (11R18) Ramification and extension theory (11S15) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Galois theory and commutative ring extensions (13B05)

Related Items

Galois extensions of prime degree

Cites Work

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• A Theorem of Harrison, Kummer Theory, and Galois Algebras
• Class Group Relations in Cyclotomic Fields