permorder

From permutations v1.0-9 by Robin K S Hankin

Returns the order of a permutation \(P\): the smallest strictly positive integer \(n\) for which \(P^n\) is the identity.

permorder(x, singly = TRUE)

x: Permutation, coerced to cycle form
singly: Boolean, with default TRUE meaning to return the order of each element of the vector, and FALSE meaning to return the order of the vector itself (that is, the smallest strictly positive integer for which all(x^n==id)).

Coerces its argument to cycle form.

The order of the identity permutation is 1.

Uses mLCM() from the numbers package.

# NOT RUN {
x <- rperm(5,20)
permorder(x)
permorder(x,FALSE)

stopifnot(all(is.id(x^permorder(x))))
stopifnot(is.id(x^permorder(x,FALSE)))
# }

Documentation reproduced from package permutations, version 1.0-9, License: GPL-2

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