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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¶

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