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Normalizers of the congruence subgroups of the Hecke group II
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 $lambda = 2cos(pi /5)$. 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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