Kleinian group
= Kleinian group
{c}
{title2=$\Gamma\leq\operatorname{PSL}_2(\mathbb C)$}
{wiki}
A discrete subgroup of $\operatorname{PSL}_2(\mathbb C)$, acting by <Möbius transformations> on the <Riemann sphere> or orientation-preserving isometries of <hyperbolic space> $\mathbb H^3$. A group may be Kleinian even when some elements fix points; freeness and absence of torsion are additional conditions.