The man called Bigger is the leader of the Fire Eaters,
inasmuch as they have a leader. This doesn't mean he makes
plans for them, the way that No Nose makes plans for
the Moment's Edge Firemen. It just means that when Bigger says
to do something, the other kajinin do it and don't argue. It also
means that he can punish those FireEaters who do something he
doesn't like - but this doesn't mean they have to ask his
permission before doing anything. They just have to respect his
opinion