Normalizers of the congruence subgroups of the Hecke group $G_5$
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- by Mong-Lung Lang and Ser-Peow Tan PDF
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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 $PSL_{2}(\mathbb {R})$.References
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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
- Received by editor(s): January 10, 1998
- Published electronically: May 4, 1999
- Communicated by: Ronald M. Solomon
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 3131-3140
- MSC (1991): Primary 11F06
- DOI: https://doi.org/10.1090/S0002-9939-99-05154-0
- MathSciNet review: 1641120