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
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.