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Normalizers of the congruence subgroups of the Hecke group
Authors:Mong-Lung Lang   Ser-Peow Tan
Affiliation:Department of Mathematics, National University of Singapore, Singapore 119260, Republic of Singapore ; Department of Mathematics, National University of Singapore, Singapore 119260, Republic of Singapore
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 $PSL_{2}(mathbb{R})$.

Keywords:Congruence subgroups   Hecke groups
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