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Unformatted text preview: σ ). (2 pts) (vi) Write down a transposition that does not commute with σ . (2 pts) (vii) Express the cycle (135) as a product of transpositions. (2 pts) 2. Suppose G is a group in which the square of every element is the identity. Prove that G is commutative. (5pts) 3. Let G be a group of prime order (i.e. the number of elements in G is a prime number). Prove that G is cyclic. (5pts)...
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 Spring '08
 Staff
 Math, Algebra, pts

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