olemus
permutatsiooniga \(\sigma\) seotud arv \(\mathop{\mathrm{sgn}}(\sigma)\), mille väärtus on \(1\), kui \(\sigma\) on paarispermutatsioon ja väärtus on \(-1\), kui \(\sigma\) on paaritu permutatsioon
= the number related to the permutation that is equal to 1 if the permutation is equal to an even product of transpositions, and -1 if the permutation is equal to an odd product of transpositions

ülevaateid
https://encyclopediaofmath.org/wiki/Signature_(permutation)

http://www.math.jhu.edu/mathcourses/401/Homework/signature.pdf

https://en.wikipedia.org/wiki/Parity_of_a_permutation