Pythagorean field

In the mathematical theory of Kleinian groups, Jørgensen's inequality is an inequality involving the traces of elements of a Kleinian group, proved by Template:Harvs.

The inequality states that if A and B generate a non-elementary discrete subgroup of SL₂(C), then

$|\text{Tr}(A{)}^2-4|+|\text{Tr}(AB{A}^{-1}{B}^{-1})-2|\ge 1.$

References

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