Class number relations of algebraic tori. I

DOI10.3792/pjaa.62.216zbMath0613.12004OpenAlexW2094089013MaRDI QIDQ1088720

Shin-ichi Katayama

Publication date: 1986

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.62.216

zbMATH Keywords

Galois cohomologyclass numberalgebraic toriTamagawa number

Mathematics Subject Classification ID

Classical groups (algebro-geometric aspects) (14L35) Iwasawa theory (11R23) Adèle rings and groups (11R56) Galois cohomology (11R34) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (3)

Class number relations of algebraic tori. II ⋮ The Euler number and other arithmetical invariants for finite Galois extensions of algebraic number fields ⋮ Cokernels of restriction maps and subgroups of norm one, with applications to quadratic Galois coverings

Cites Work

• A generalization of Gauss' theorem on the genera of quadratic forms
• On some class number relations of algebraic tori
• Arithmetic of algebraic tori
• On the Tamagawa number of algebraic tori
• On some class number relations for Galois extensions
• On some class number relations for Galois extensions

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