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math.GR2015
Arithmetic and geometry of the Hecke groups
Cheng Lien Lang, Mong Lung Lang
We study the arithmetic and geometry properties of the Hecke group . In particular, we prove that has a subgroup of index , genus with cusps, a…
math.GR2014
Commutator subgroup of the Hecke group is not congruence
Cheng Lien Lang, Mong Lung Lang
We prove that the power subgroup and the commutator subgroup of the Hecke group are not congruence.
math.GR2014★ 2 cited
Wohlfahrt's Theorem for the Hecke group G_5
Cheng Lien Lang, Mong Lung Lang
Let K be a subgroup of the inhomogeneous Hecke group G_5 of finite index. Suppose that the geometric level of K is r. Then K is congruence if and only if K contains the principal c…
math.GR2014
The index formula for the Hecke group H_5
Cheng Lien Lang, Mong Lung Lang
The present article gives the index formula of the principal congruence subgroups of the Hecke group H_5