A prime decomposition symbol for a non-abelian central extension which is abelian over a bicyclic biquadratic field

DOI10.1017/S0027763000018948zbMath0444.12001OpenAlexW1499974614MaRDI QIDQ3887558

Yoshiomi Furuta

Publication date: 1980

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000018948

zbMATH Keywords

reciprocitybicyclic biquadratic fieldbiquadratic residue symbolnon-Abelian central extensionprime decomposition symbol

Mathematics Subject Classification ID

Units and factorization (11R27) Other number fields (11R21)

Related Items (4)

Central extensions and rational quadratic forms ⋮ A norm residue map for central extensions of an algebraic number field ⋮ Gauss’s ternary form reduction and its application to a prime decomposition symbol ⋮ On mod 3 triple Milnor invariants and triple cubic residue symbols in the Eisenstein number field

Cites Work

• A reciprocity law of the power residue symbol
• Zur Geschlechtertheorie in quadratischen Zahlkörpern
• Note on class number factors and prime decompositions
• On nilpotent factors of congruent ideal class groups of Galois extensions
• On the central class field mod of Galois extensions of an algebraic number field
• The Genus Field and Genus Number in Algebraic Number Fields

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