Class number relations of algebraic tori. I
type: Item
instance of: scholarly article
title: Class number relations of algebraic tori. I
zbMATH Open document ID: 0613.12004
author: Shin-ichi Katayama
published in: Proceedings of the Japan Academy. Series A
publication date: 1986-01-01T00:00:00Z
review text: Given an exact sequence of algebraic tori over an algebraic number field, a formula is given relating the Tamagawa number and the class number of these tori to the order of the kernel of some Galois cohomology groups. \{For part II see the following review.\}
Mathematics Subject Classification ID: 11R23
Mathematics Subject Classification ID: 20G35
Mathematics Subject Classification ID: 11R56
Mathematics Subject Classification ID: 11R34
Mathematics Subject Classification ID: 14L35
zbMATH DE Number: 3991622
zbMATH Keywords: algebraic tori
zbMATH Keywords: Tamagawa number
zbMATH Keywords: class number
zbMATH Keywords: Galois cohomology
MaRDI profile type: Publication
full work available at URL: pjaa.62.216
OpenAlex ID: W2094089013
cites work: Arithmetic of algebraic tori
cites work: On the Tamagawa number of algebraic tori
cites work: A generalization of Gauss' theorem on the genera of quadratic forms
cites work: On some class number relations for Galois extensions
cites work: On some class number relations of algebraic tori
DOI: 10.3792/PJAA.62.216
description: scientific article; zbMATH DE number 3991622