Global restrictions on ramification in number fields

DOI10.1007/BF01169099zbMath0519.12005OpenAlexW2060885410MaRDI QIDQ1054785

Hans Zantema

Publication date: 1983

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154946

zbMATH Keywords

quadratic reciprocity lawramificationStickelberger congruencedecomposition groupBrauer groups of global fieldsFrobenius elementintegral polynomials over quartic number fieldslocal symbolPolya field with class number oneproduct formula of local group homomorphisms

Mathematics Subject Classification ID

Galois cohomology (12G05) Other number fields (11R21) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Polynomials (irreducibility, etc.) (11R09) Ramification and extension theory (11S15) Brauer groups of schemes (14F22) Power residues, reciprocity (11A15) Galois cohomology (11R34)

Related Items (2)

From Pólya fields to Pólya groups (II) non-Galois number fields ⋮ Integer valued polynomials over a number field

Cites Work

• Discriminants of algebraic number fields
• Integer valued polynomials over a number field
• Théoremes de finitude en cohomologie galoisienne
• Endliche Gruppen I
• Unnamed Item
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