Homework Statement
Let A be a normal subgroup of a group G, with A cyclic and G/A nonabelian simple. Prove that Z(G)= AHomework Equations
Z(G) = A <=> CG(G) = A = {a in G: ag = ga for all g in G}
My professor's hint was "what is G/CG(A)?"
The Attempt at a Solution
A is cyclic => A is...