Commutator subgroups of the power subgroups of some Hecke groups.
type: Item
instance of: scholarly article
title: Commutator subgroups of the power subgroups of some Hecke groups.
zbMATH Open document ID: 1218.20033
author: Recep Sahin
author: Özden Koruoğlu
published in: The Ramanujan Journal
publication date: 2011-03-14T00:00:00Z
review text: Commutator subgroups of the power subgroups of some Hecke groups are studied. It is shown that the commutator subgroup of \(H^q(\lambda_q)\) is a free group of rank \(1+(q-1)2^{q-1}\) by using the Reidemeister-Schreier method, where \(q\geq 3\) is a prime. Also the relationships between the derived series of the triangle groups \((0;2,q,n)\) for \(n\) a positive integer and the signatures of some subgroups of \(H(\lambda_q)\) are given.
reviewed by: Osman Bizim
Mathematics Subject Classification ID: 20H10
Mathematics Subject Classification ID: 11F06
Mathematics Subject Classification ID: 20F12
Mathematics Subject Classification ID: 20F14
zbMATH DE Number: 5865385
zbMATH Keywords: Hecke groups
zbMATH Keywords: power subgroups
zbMATH Keywords: commutator subgroup
zbMATH Keywords: derived series
zbMATH Keywords: triangle groups
MaRDI profile type: Publication
full work available at URL: s11139-010-9246-1
OpenAlex ID: W2042250136
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DOI: 10.1007/S11139-010-9246-1
description: scientific article; zbMATH DE number 5865385