Bianchi group
From Wikipedia, the free encyclopedia
For the 3-dimensional Lie groups or Lie algebras, see Bianchi classification.
In mathematics, a Bianchi group is a group of the form
- PSL2(Od)
where d is a positive square-free integer. Here, PSL denotes the projective special linear group and Od 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).
[edit] References
- B.Fine (2001), "Bianchi group", in Hazewinkel, Michiel, Encyclopaedia of Mathematics, Kluwer Academic Publishers, ISBN 978-1556080104
[edit] External links
- Allen Hatcher, Bianchi Orbifolds
