# Abstract Nonsense

## Permutations (Pt. VI Alternate Definitions of the Sign of a Permutation cont.)

Point of post: This is a literal continuation of this post. I just hate when that dark grey to light grey thing happens. Just pretend that there was no lapse in the posts

And so we continue…

Point of post: In this post we point out two different, but commonly used, definitions for the sign of a permutation and show that they’re equivalent to the one given here. Namely, the definitions given by the polynomial commonly denoted $\Delta(x_1,\cdots,x_n)$ in Lang (viz. ref. 1 pg. 63-64) and the definition by  inversions as in Shilov (viz. ref. 2 pg. 5-6 ) .