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Arithmetic Subgroups of \(\SL_2(\ZZ)\)¶

This chapter describes the basic functionality for finite index subgroups of the modular group \(\SL_2(\ZZ)\).

  • Arithmetic subgroups (finite index subgroups of \(\SL_2(\ZZ)\))
  • Arithmetic subgroups defined by permutations of cosets
  • Elements of Arithmetic Subgroups
  • Congruence arithmetic subgroups of \(\SL_2(\ZZ)\)
  • Congruence Subgroup \(\Gamma_H(N)\)
  • Congruence Subgroup \(\Gamma_1(N)\)
  • Congruence Subgroup \(\Gamma_0(N)\)
  • Congruence Subgroup \(\Gamma(N)\)
  • The modular group \(\SL_2(\ZZ)\)
  • Farey Symbol for arithmetic subgroups of \(\PSL_2(\ZZ)\)
  • Cython helper functions for congruence subgroups

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  • Arithmetic Subgroups of \(\SL_2(\ZZ)\)
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