Ive worked at several prop firms and they are all open to traders opening up satellite offices. First firm had offices in London, Singapore, Ireland, Canada and US. Next firm had offices in Ireland, Croatia and India might be on the cards, the secondary offices were all setup by traders from within the group going alone under the firms umbrella, like a franchise.
You will, however be expected to assume a significant proportion of any downside and preferably have a track record trading being able to prove you know the industry and what you are doing. So a typical path would be to trade at the firm for a while, get to know each other and prove yourself to each and go from there.
Its a partnership.
Nobody will set everything up for you and give you free reign to do what you want with no financial comeback.
Taking on trainees is VERY VERY expensive. I would advise only setting up a firm on your own if you have at least 5 experienced guys clearing 200k+ a year.
10 trainees will be about 20k a month in overheads just to sit there. Let alone 6 months or so of losses whilst they learn.
So depends on your capitalization and experience.