Definite quaternion orders of class number one
type: Item
instance of: scholarly article
title: Definite quaternion orders of class number one
zbMATH Open document ID: 0843.11048
author: Juliusz Brzezinski
published in: Journal de Théorie des Nombres de Bordeaux
publication date: 1996-03-24T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/93633
full work available at URL: jtnb7-1.html
review text: It is shown that there are exactly 25 isomorphism classes of definite quaternion orders of class number one over \(\mathbb{Z}\); they are listed explicitly. It is remarkable that 23 of the orders are Gorenstein orders and 2 are non-Gorenstein orders.
Mathematics Subject Classification ID: 11R54
zbMATH DE Number: 858016
zbMATH Keywords: isomorphism classes of definite quaternion orders of class number one
reviewed by: Meinhard Peters
MaRDI profile type: Publication
OpenAlex ID: W2320159704
cites work: Q3250671
cites work: On orders in quaternion algebras
cites work: On automorphisms of quaternion orders.
cites work: Q4724810
cites work: Traces of Eichler-Brandt matrices and type numbers of quaternion orders
cites work: Arithmétique des algèbres de quaternions
DOI: 10.5802/JTNB.132
description: scientific article; zbMATH DE number 858016