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**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.

HELP PLEASE :(