Regular maps and principal congruence subgroups of Hecke groups.
type: Item
instance of: scholarly article
title: Regular maps and principal congruence subgroups of Hecke groups.
zbMATH Open document ID: 1075.20022
author: Ioannis Ivrissimtzis
author: David Singerman
published in: European Journal of Combinatorics
publication date: 2005-03-08T00:00:00Z
review text: The authors continue the study of the relation between the normal subgroups of the Hecke groups and regular maps, started with \textit{G. A. Jones} and \textit{D. Singerman} [Proc. Lond. Math. Soc., III. Ser. 37, 273-307 (1978; Zbl 0391.05024)], and continued with \textit{I. N. Cangül} and \textit{D. Singerman} [Math. Proc. Camb. Philos. Soc. 123, No. 1, 59-74 (1998; Zbl 0893.20036)]. In the former, the existence of a one to one correspondence between the normal subgroups of certain classes of discrete groups and regular maps was established, and in the latter, this correspondence was applied to determine normal subgroups of the Hecke groups. Here the authors consider a similar correspondence between regular maps and principal congruence subgroups of Hecke groups.
Mathematics Subject Classification ID: 20H10
Mathematics Subject Classification ID: 20E07
Mathematics Subject Classification ID: 05C10
Mathematics Subject Classification ID: 20H05
Mathematics Subject Classification ID: 30F35
zbMATH DE Number: 2142216
zbMATH Keywords: regular maps
zbMATH Keywords: Hecke groups
zbMATH Keywords: principal congruence subgroups
zbMATH Keywords: normal subgroups
reviewed by: Ismail Naci Cangül
MaRDI profile type: Publication
full work available at URL: j.ejc.2004.01.010
OpenAlex ID: W1984970648
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DOI: 10.1016/J.EJC.2004.01.010
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description: scientific article; zbMATH DE number 2142216