Mathematics, 11.02.2020 22:18, malikfitzgerald7392

Let σ Sn, and suppose that σ is written as a product of disjoint cycles. Show that σ is even if and only if the number of cycles of even length is even. Show that σ is odd if and only if the number cycles of even lengthis odd.

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Let σ Sn, and suppose that σ is written as a product of disjoint cycles. Show that σ is even if and...