I would, respectfully take issue with this. The inert cases are those in group VIII of the periodic table. They are inert because they have full outer electron shells and include Helium, Neon, Argon, Krypton, Xenon, Radon. The halogens are the elements in group VII. They are highly reactive because they are just one electron short of a full shell and include Fluorine, Chlorine, Bromine, Iodine and Astatine.
I quote from the Wikipedia article on the use of Halogens to make incandescent lights brighter:
"One invention that addressed the problem of short lamp life was the halogen lamp, also called the tungsten-halogen lamp, the quartz-halogen lamp or the quartz-iodine lamp, wherein a tungsten filament is sealed into a small envelope filled with a halogen gas such as iodine or bromine. In an ordinary incandescent lamp, the thickness of the filament may vary slightly. The resistance of the filament is higher at the thinner portions which causes the thin areas to be hotter than the thicker parts of the filament. The rate of tungsten evaporation will be higher at these points due to the increased temperature, causing the thin areas to become even thinner, creating a runaway effect until the filament fails. A tungsten-halogen lamp creates an equilibrium reaction in which the tungsten that evaporates when giving off light is preferentially re-deposited at the hot-spots, preventing the early failure of the lamp. This also allows halogen lamps to be run at higher temperatures which would cause unacceptably short lamp lifetimes in ordinary incandescent lamps, allowing for higher luminous efficacy, apparent brightness, and whiter color temperature. Because the lamp must be very hot to create this reaction, the halogen lamp's envelope must be made of hard glass or fused quartz, instead of ordinary soft glass which would soften and flow too much at these temperatures."
I hope that I have not gone on too long!
All the best
Nick