Let G be a group and let a be an element of G. a. If a12 = e, what can we say about...

Let G be a group and let a be an element of G.

a. If a¹² = e, what can we say about the order of a?

b. If a^m = e, what can we say about the order of a?

c. Suppose that |G| = 24 and that G is cyclic. If a⁸ ≠ e and a¹² ≠ e, show that .