sgn: Sign of a permutation

In permutations: The Symmetric Group: Permutations of a Finite Set

Sign of a permutation

Description

The sign of a permutation is +/-1 depending on whether it is even or odd

Usage

sgn(x)
is.even(x)
is.odd(x)

Arguments

x	permutation object

Details

Coerces to cycle form

Author(s)

Robin K. S. Hankin

See Also

shape

Examples

sgn(id)  # always problematic

sgn(rperm(10,5))

x <- rperm(40,6)
y <- rperm(40,6)


stopifnot(all(sgn(x*y) == sgn(x)*sgn(y)))   # sgn() is a homomorphism


z <- as.cycle(rperm(20,9,5))
z[is.even(z)]
z[is.odd(z)]

permutations documentation built on March 7, 2023, 8:26 p.m.