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Let σ ∈ Sn. a) Prove that σ is even if and only if σ−1 is...

Let σ ∈ Sn.

a) Prove that σ is even if and only if σ−1 is even.

b) Prove that if φ ∈ Sn, then φ is even if and only if σφσ−1 is even.

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