Arithmetic Subgroups of \({\rm SL}_2({\bf Z})\)

This chapter describes the basic functionality for finite index subgroups of the modular group \({\rm SL}_2(\ZZ)\).

• Arithmetic subgroups (finite index subgroups of \({\rm SL}_2(\ZZ)\))
• Arithmetic subgroups defined by permutations of cosets
• Elements of Arithmetic Subgroups
• Congruence arithmetic subgroups of \({\rm SL}_2(\ZZ)\)
• Congruence Subgroup \(\Gamma_H(N)\)
• Congruence Subgroup \(\Gamma_1(N)\)
• Congruence Subgroup \(\Gamma_0(N)\)
• Congruence Subgroup \(\Gamma(N)\)
• The modular group \({\rm SL}_2(\ZZ)\)
• Farey Symbol for arithmetic subgroups of \({\rm PSL}_2(\ZZ)\)
• Cython helper functions for congruence subgroups

Indices and Tables

• Index
• Module Index
• Search Page