We develop a forward branching phase-space generator for use in
next-to-leading order parton level event generators. By performing 2 -> 3
branchings from a fixed jet phase-space point, all bremsstrahlung events
contributing to the given jet configuration are generated. The resulting
phase-space integration is three-dimensional irrespective of the considered jet
multiplicity. In this first study, we use the forward branching phase-space
generator to calculate in the leading-color approximation next-to-leading order
corrections to fully differential gluonic jet configurations.Comment: 35 pages, 5 figures, 1 tabl