Principal Congruence Subgroups
The principal congruence subgroup defined by an ideal is by definition the group
- mod
namely, the group of elements of reduced norm 1 in equivalent to 1 modulo the ideal . The corresponding Fuchsian group is obtained as the image of the principal congruence subgroup under a representation to PSL(2,R).
Read more about this topic: Hurwitz Quaternion Order
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