Dummit Foote Solutions Chapter 4 -

Q: What is the definition of a group? A: A group is a set equipped with a binary operation that satisfies closure, associativity, identity, and invertibility.

Thus ( |Z(G)| = p^2 ), so ( G ) is abelian. . dummit foote solutions chapter 4

This is your primary tool for proving results about the center of Q: What is the definition of a group