The Euler number and other arithmetical invariants for finite Galois extensions of algebraic number fields
type: Item
instance of: scholarly article
title: The Euler number and other arithmetical invariants for finite Galois extensions of algebraic number fields
zbMATH Open document ID: 0623.12008
author: Shin-ichi Katayama
published in: Proceedings of the Japan Academy. Series A
publication date: 1987-01-01T00:00:00Z
review text: The author obtains relations between the Euler number of finite Galois extensions of number fields, class numbers of algebraic tori, central class numbers, genus numbers and other arithmetical invariants.
Mathematics Subject Classification ID: 11R37
Mathematics Subject Classification ID: 11R34
Mathematics Subject Classification ID: 11R29
zbMATH DE Number: 4010636
zbMATH Keywords: Euler number
zbMATH Keywords: Galois extensions of number fields
zbMATH Keywords: algebraic tori
zbMATH Keywords: central class numbers
zbMATH Keywords: genus numbers
reviewed by: Hans Opolka
MaRDI profile type: Publication
full work available at URL: pjaa.63.27
OpenAlex ID: W2068960452
cites work: The Genus Field and Genus Number in Algebraic Number Fields
cites work: Class number relations of algebraic tori. I
cites work: Arithmetic of algebraic tori
cites work: On the Tamagawa number of algebraic tori
cites work: On some class number relations for Galois extensions
cites work: Q3784223
cites work: On the Class Number of a Relatively Cyclic Number Field
DOI: 10.3792/PJAA.63.27
description: scientific article; zbMATH DE number 4010636