G acts faithfully on X, N is a minimal normal subgroup of G, N abelian, acts transitively. Prove G acts primitively I want to ask for a hint or solution to this problem: G acts faithfully on X, N is a minimal normal subgroup of G, N abelian, and acts transitively on X. Prove G acts primitively

Show that normal subgroups preserve partitions.

Show that in this situation only the trivial partitions can be preserved.