sign(Permutation) -- computes the sign of a permutation

Function: sign
Usage:

sign w
Inputs:
- w, a permutation,
Outputs:
- an integer,

Description

Every permutation can be written as a product of transpositions. One definition for the sign of a permutation $p$ is $1$ if it can be written as a product of an even number of transpositions and is $-1$ if it can be written as an odd number of transpositions.

i1 : p = permutation {3,1,2,5,4}

o1 = Permutation{3, 1, 2, 5, 4}

o1 : Permutation

i2 : sign p

o2 = -1

Ways to use this method:

sign(Permutation) -- computes the sign of a permutation

The source of this document is in Permutations/Documentation/mainDocs.m2:679:0.

sign(Permutation) -- computes the sign of a permutation

Description

See also

Ways to use this method: