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We prove that every 2-transitive group has a property called the EKR-moduleproperty. This property gives a characterization of the maximum intersectingsets of permutations in the group. Specifically, the characteristic vector ofany maximum intersecting set in a 2-transitive group is the linear combinationof the characteristic vectors of the stabilizers of a points and their cosets.We also consider when the derangement graph of a 2-transitive group isconnected and when a maximum intersecting set is a subgroup or a coset of asubgroup.

All $2$-transitive groups have the EKR-module property