conjugate

0th

Percentile

Are two permutations conjugate?

Returns TRUE if two permutations are conjugate and FALSE otherwise.

Usage
are_conjugate(x, y)
are_conjugate_single(a,b)
Arguments
x,y,a,b

Objects of class permutation, coerced to cycle form

Details

Two permutations are conjugate if and only if they have the same shape. Function are_conjugate() is vectorized and user-friendly; function are_conjugate_single() is lower-level and operates only on length-one permutations.

The reason that are_conjugate_single() is a separate function and not bundled inside are_conjugate() is that dealing with the identity permutation is a pain in the arse.

Value

Returns a vector of Booleans

Note

The functionality detects conjugateness by comparing the shapes of two permutations; permutations are coerced to cycle form because function shape() does.

See Also

group_action,shape

Aliases
  • conjugate
  • are_conjugate
  • are_conjugate
  • are_conjugate_single
  • %~%
  • %~%.permutation
Examples
# NOT RUN {
are_conjugate(rperm(20,3),rperm(20,3))

rperm(20,3) %~% cycle(1:3)

z <- rperm(300,4)
stopifnot(all(are_conjugate(z,id)==is.id(z)))

data(megaminx)
stopifnot(all(are_conjugate(megaminx,megaminx^as.cycle(sample(129)))))
# }
Documentation reproduced from package permutations, version 1.0-5, License: GPL-2

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