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Permutations : Parity
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Show that $ and %$%^-1 have the same parity for all % and $ in Sn. (Sn is the symmetric group of degree n)
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Solution Summary
Parity in a symmetric group is concisely proven.
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We know for any %, % and % have the same parity.
Now we define sgn$=1 if $ ...
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