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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Normalizers of the congruence subgroups
of the Hecke group $G_{5}$


Authors: Mong-Lung Lang and Ser-Peow Tan
Journal: Proc. Amer. Math. Soc. 127 (1999), 3131-3140
MSC (1991): Primary 11F06
Published electronically: May 4, 1999
MathSciNet review: 1641120
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Abstract | References | Similar Articles | Additional Information

Abstract: Let $\lambda = 2$cos$(\pi /5)$ and let $G$ be the Hecke group associated to $\lambda $. In this article, we show that for $\tau $ a prime ideal in $\mathbb{Z}[\lambda ]$, the congruence subgroups $G_{0}(\tau )$ of $G$ are self-normalized in $PSL_{2}(\mathbb{R})$.


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Additional Information

Mong-Lung Lang
Affiliation: Department of Mathematics, National University of Singapore, Singapore 119260, Republic of Singapore
Email: matlml@math.nus.edu.sg

Ser-Peow Tan
Affiliation: Department of Mathematics, National University of Singapore, Singapore 119260, Republic of Singapore

DOI: http://dx.doi.org/10.1090/S0002-9939-99-05154-0
PII: S 0002-9939(99)05154-0
Keywords: Congruence subgroups, Hecke groups
Received by editor(s): January 10, 1998
Published electronically: May 4, 1999
Communicated by: Ronald M. Solomon
Article copyright: © Copyright 1999 American Mathematical Society