Principal congruence subgroups of the Hecke groups and related results
type: Item
instance of: scholarly article
title: Principal congruence subgroups of the Hecke groups and related results
zbMATH Open document ID: 1184.11014
author: Recep Sahin
author: Sebahattin Ikikardes
author: Ismail Naci Cangül
published in: Bulletin of the Brazilian Mathematical Society. New Series
publication date: 2009-12-02T00:00:00Z
review text: The authors, determine the quotient groups of the Hecke groups \(H(\lambda_q)\) for prime \(q\geq 7\), by their principal congruence subgroups \(H_p(\lambda_q)\) of level \(p\) where \(p\) is prime. Then, they give the principal congruence subgroups of the extended Hecke groups \(\overline{H} (\lambda_q)\) for prime \(q\geq 5\). Also they showed that some of the quotient groups of the Hecke group \(H(\lambda_q)\) and the extended Hecke group \(\overline{H}(\lambda_q)\) for prime \(q\geq 5\), by their principal congruence subgroups \(H_p(\lambda_q)\) are \(M^*\)-groups.
reviewed by: Osman Bizim
Mathematics Subject Classification ID: 11F06
Mathematics Subject Classification ID: 20H05
Mathematics Subject Classification ID: 30F50
zbMATH DE Number: 5641446
zbMATH Keywords: principal congruence subgroups
zbMATH Keywords: Hecke groups
zbMATH Keywords: extended Hecke groups
MaRDI profile type: Publication
full work available at URL: s00574-009-0023-y
OpenAlex ID: W2039423681
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DOI: 10.1007/S00574-009-0023-Y
description: scientific article; zbMATH DE number 5641446