I'm having a little trouble with the difference between my notes and my textbook notation.
I have
I have to determine the orders of and , and whether and are isomorphic.
For the first part I have
So they have order 4. Correct?
For the isomorpic part can I just find a 2x2 matrix that shows that isn't a homomorphism?
Do I even know what I'm talking about? (just started group theory last week)