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Normalizers of the congruence subgroups of the Hecke group II

Authors:	Mong-Lung Lang Ser-Peow Tan

Institution:	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 $\lambda = 2\cos(\pi /5)$ . Let $(\tau )$ be an ideal of $\mathbb{Z}\lambda ]$ and let $(\tau _0)$ be the maximal ideal of $\mathbb{Z}\lambda]$ such that $(\tau _0^2)\subseteq(\tau)$ . Then $N(G_0(\tau))\le G_0(\tau _0)$ . In particular, if $\tau$ is square free, then $G_{0}(\tau )$ is self-normalized in $PSL_{2}(\mathbb{R})$ .

Keywords:	Congruence subgroups Hecke groups

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