We explore a driven three-level V-system coupled to an environment with
dynamics governed by the Lindblad master equation. We perform a transformation
into superoperator space, which brings the Lindblad equation into a
Schr\"{o}dinger-like, thus allowing us to obtain an exact analytical solution
for the time-dependence of the density matrix in a closed form. We demonstrate
a regime for continuous lasing without inversion for driving with a continuous
wave laser. We show a mechanism for achieving superluminal, negative, and
vanishing light pulse group velocities and provide a range of physical
parameters for realizing these regimes experimentally