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Homework Statement
(1 2 3 4 5 6 7)
(1 2 5 4 3 6 7)
is s, a permuation.
Find sgn(s).
Homework Equations
The sgn of a transposition is -1.
Sgn(s)=Product of [sgn(j)-sgn(i)]/(j-i) when 1<=i<j<=n
The Attempt at a Solution
I calculated the sgn(s) using the formula and got 1. But shouldn't it actually be -1, since s is a transposition? If not, why is it not a transposition when only two elements are swapped and the rest are stationary?