The Euler number and other arithmetical invariants for finite Galois extensions of algebraic number fields

DOI10.3792/pjaa.63.27zbMath0623.12008OpenAlexW2068960452MaRDI QIDQ1091427

Shin-ichi Katayama

Publication date: 1987

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.63.27

zbMATH Keywords

Euler numberalgebraic toricentral class numbersGalois extensions of number fieldsgenus numbers

Mathematics Subject Classification ID

Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Galois cohomology (11R34)

Related Items (1)

Cokernels of restriction maps and subgroups of norm one, with applications to quadratic Galois coverings

Cites Work

• Unnamed Item
• Class number relations of algebraic tori. I
• Arithmetic of algebraic tori
• On the Tamagawa number of algebraic tori
• On the Class Number of a Relatively Cyclic Number Field
• The Genus Field and Genus Number in Algebraic Number Fields
• On some class number relations for Galois extensions

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