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Define the sign of a permutation $ to be:
sgn $ = 1 if $ is even. -1 if $ is odd.
Prove that sgn($%) = sgn$sgn% for all $ and % in Sn.© BrainMass Inc. brainmass.com May 24, 2023, 1:14 pm ad1c9bdddf
We know each permutation can be expressed as the products of 2-cycles. 2-cycle is the form of (ab). If a permutation has odd ...
A proof involving the signs of permutations is provided. The proof is concise.