  We provide a geometric condition which characterises when the Principle of
Dependent Choice holds in a Fraenkel--Mostowski--Specker permutation model.
This condition is a slight weakening of requiring the filter of groups to be
closed under countable intersections. We show that this condition holds
nontrivially in a new permutation model we call "the nowhere dense model" and
we study its extensions to uncountable cardinals as well.
