ThmDex – An index of mathematical definitions, results, and conjectures.
F13081
Formulation 0
Let $(1, 2), (2, 1) \in S_2$ each be a D6186: Standard permutation.
Then
(1) \begin{equation} \text{Sign}(1, 2) = 1 \end{equation}
(2) \begin{equation} \text{Sign}(2, 1) = -1 \end{equation}