Normalisers of subgroups of the modular group
type: Item
instance of: scholarly article
title: Normalisers of subgroups of the modular group
zbMATH Open document ID: 1007.20045
published in: Journal of Algebra
publication date: 2002-07-04T00:00:00Z
review text: Let \(G\) be a subgroup of finite index of the modular group \(\Gamma=\text{PSL}_2(\mathbb{Z})\). By using some results due to Kulkarni and Conway, the author givs an algorithm that determines the normalizer of \(G\) in \(\text{PSL}_2(\mathbb{Z})\). Since \(N(G)/G\) is a subgroup of the automorphism group of the compact Riemann surface \(H^*/G\), we agree with the author that this work can be considered as the first step towards the determination of the automorphism group of \(H^*/G\).
reviewed by: Turgut Başkan
Mathematics Subject Classification ID: 20H05
Mathematics Subject Classification ID: 20E07
Mathematics Subject Classification ID: 20B27
zbMATH DE Number: 1763581
zbMATH Keywords: fundamentals polygons
zbMATH Keywords: subgroups of finite index
zbMATH Keywords: modular group
zbMATH Keywords: algorithms
zbMATH Keywords: normalizers
zbMATH Keywords: automorphism groups
zbMATH Keywords: compact Riemann surfaces
author: Mong Lung Lang
MaRDI profile type: Publication
full work available at URL: jabr.2001.9024
OpenAlex ID: W2036482764
cites work: Q3927897
cites work: Q4878693
cites work: Q3490120
cites work: An Arithmetic-Geometric Method in the Study of the Subgroups of the Modular Group
cites work: Q4204261
cites work: Normalizer of \(\Gamma_1(m)\)
cites work: Normalizers of the congruence subgroups of the Hecke groups \(G_4\) and \(G_6\)
cites work: Independent generators for congruence subgroups of Hecke groups
cites work: An Algorithm for Determining if a Subgroup of the Modular Group is Congruence
DOI: 10.1006/JABR.2001.9024
description: scientific article; zbMATH DE number 1763581