Jørgensen's inequality
Encyclopedia
In the mathematical theory of Kleinian group
s, Jørgensen's inequality is an inequality involving the traces of elements of a Kleinian group
, proved by .
The inequality states that if A and B generate a non-elementary discrete subgroup of SL2(C), then
Kleinian group
In mathematics, a Kleinian group is a discrete subgroup of PSL. The group PSL of 2 by 2 complex matrices of determinant 1 modulo its center has several natural representations: as conformal transformations of the Riemann sphere, and as orientation-preserving isometries of 3-dimensional hyperbolic...
s, Jørgensen's inequality is an inequality involving the traces of elements of a Kleinian group
Kleinian group
In mathematics, a Kleinian group is a discrete subgroup of PSL. The group PSL of 2 by 2 complex matrices of determinant 1 modulo its center has several natural representations: as conformal transformations of the Riemann sphere, and as orientation-preserving isometries of 3-dimensional hyperbolic...
, proved by .
The inequality states that if A and B generate a non-elementary discrete subgroup of SL2(C), then