## Abstract Algebra.

I have 2 algebra questions which are stumping me, I just can't seem to use my notes to figure them out!

1. Let α, β ∈ S17 where α = (17 2)(1 2 15 17 ), β = (2 3 16)(6 16 17 ).
Determine η, as a product of disjoint cycles, where αη = β.

2. Let G be a group in which a^2 = 1 for all a ∈ G. Prove that G is Abelian.
Hint: Consider (ab)^2.