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- Bianchi_group abstract "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 Bianchi (1892) as a natural class of discrete subgroups of PSL2(C), now termed Kleinian groups. As a subgroup of PSL2(C), a Bianchi group acts as orientation-preserving isometries of 3-dimensional hyperbolic space H3. The quotient space Md = PSL2(Od) \ H3 is a non-compact, hyperbolic 3-fold with finite volume. An exact formula for the volume, in terms of the Dedekind zeta function of the base field Q(√−d), was computed by Humbert. The set of cusps of Md is in bijection with the class group of Q(√−d). It is well known that any non-cocompact arithmetic Kleinian group is weakly commensurable with a Bianchi group.".
- Bianchi_group wikiPageExternalLink books?id=1D6crOEoRFEC.
- Bianchi_group wikiPageExternalLink bianchi.html.
- Bianchi_group wikiPageID "3238478".
- Bianchi_group wikiPageRevisionID "603054985".
- Bianchi_group first "B.".
- Bianchi_group hasPhotoCollection Bianchi_group.
- Bianchi_group id "Bianchi_group".
- Bianchi_group last "Fine".
- Bianchi_group title "Bianchi group".
- Bianchi_group subject Category:Group_theory.
- Bianchi_group comment "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 Bianchi (1892) as a natural class of discrete subgroups of PSL2(C), now termed Kleinian groups. As a subgroup of PSL2(C), a Bianchi group acts as orientation-preserving isometries of 3-dimensional hyperbolic space H3.".
- Bianchi_group label "Bianchi group".
- Bianchi_group sameAs m.090h7f.
- Bianchi_group sameAs Q4902527.
- Bianchi_group sameAs Q4902527.
- Bianchi_group wasDerivedFrom Bianchi_group?oldid=603054985.
- Bianchi_group isPrimaryTopicOf Bianchi_group.