Bianchi group

Bianchi group

In mathematics, a Bianchi group is a group of the form

:"PSL"2("O""d")

where "d" is a positive square-free integer. Here, PSL denotes the projective special linear group and "O""d" is the ring of integers of the imaginary quadratic field Q(√−"d").

The groups were first studied by Luigi Bianchi in the 1890s as a natural class of discrete subgroups of PSL2(C).

References

*springer|id=B/b110500|author=B.Fine|title=Bianchi group


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