Central extensions and Schur’s multiplicators of Galois groups

DOI10.1017/S0027763000020389zbMath0502.12007MaRDI QIDQ3967622

Katsuya Miyake

Publication date: 1983

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

zbMATH Keywords

central extensionsgenus fieldHasse norm theoremSchur multiplicatorScholz's number knotEL-genus extensions

Mathematics Subject Classification ID

Galois theory (11R32) Class field theory (11R37) Galois cohomology (11R34)

Related Items (10)

On central extensions of a Galois extension of algebraic number fields ⋮ Indices of central embedding problems and applications ⋮ Rational and genus equivalence of forms ⋮ On nilpotent extensions of algebraic number fields I ⋮ Notes on the ideal class groups of the p-class fields of some algebraic number fields ⋮ Abundant central extensions of non-trivial genera ⋮ A norm residue map for central extensions of an algebraic number field ⋮ Isoclinism classes of Galois groups of number fields ⋮ On the rank of the first radical layer of ap-class group of an algebraic number field ⋮ A note on abundant central extensions of number fields and Scholz's solutions of number knots

Cites Work

• Unnamed Item
• Cohomology in class field theory
• On the structure of the idele group of an algebraic number field
• 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

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