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Title: Genus of congruence subgroups of the modular group
Authors: YAP HUI HUI
Keywords: Larcher congruence subgroups, modular group, genus formula, cusps, cusp widths, equivalence of cusps
Issue Date: 23-Oct-2003
Citation: YAP HUI HUI (2003-10-23). Genus of congruence subgroups of the modular group. ScholarBank@NUS Repository.
Abstract: In this thesis, we determine the genus of a few Larcher congruence subgroups which are subgroups of the modular group. This is done by studying their indices in the modular group, cusps, and elliptic subgroups of order 2 and 3. Explicit description for the equivalence of the cusps in these Larcher congruence subgroups is also given.
Appears in Collections:Master's Theses (Open)

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