The conjugacy problem of the modular group and the class number of real quadratic number fields
type: Item
instance of: scholarly article
title: The conjugacy problem of the modular group and the class number of real quadratic number fields
zbMATH Open document ID: 0567.10018
DOI: 10.1016/0022-314X(85)90049-6
author: Charles Traina
published in: Journal of Number Theory
publication date: 1985-01-01T00:00:00Z
review text: Der Autor untersucht detailliert mit Hilfe von Frickeschen Spurpolynomen das Konjugationsproblem in SL(2,\({\mathbb{Z}})\) als Untergruppe der GL(2,\({\mathbb{Z}})\). Der bekannte Zusammenhang mit dem Klassenzahlproblem reeller quadratischer Zahlkörper erlaubt nun die Berechnung der Klassenzahlen gewisser reeller quadratischer Zahlkörper.
reviewed by: Gerhard Rosenberger
Mathematics Subject Classification ID: 11F06
Mathematics Subject Classification ID: 11R23
Mathematics Subject Classification ID: 20H05
Mathematics Subject Classification ID: 11R11
zbMATH DE Number: 3904674
zbMATH Keywords: conjugacy problem
zbMATH Keywords: PSL(2,Z)
zbMATH Keywords: numbers of ideal classes
zbMATH Keywords: real quadratic fields
zbMATH Keywords: Taussky theorem
MaRDI profile type: Publication
cites work: Q3856844
cites work: Q4045253
cites work: The uses of 2 by 2 matrices in combinatorial group theory. A survey
cites work: Q4135772
cites work: On a Theorem of Latimer and Macduffee
full work available at URL: 0022-314x(85)90049-6
OpenAlex ID: W1964048657
description: scientific article; zbMATH DE number 3904674