conjugate: Are two permutations conjugate?

Description Usage Arguments Details Value Note Author(s) See Also Examples

Description

Returns TRUE if two permutations are conjugate and FALSE otherwise.

Usage

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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.

Author(s)

Robin K. S. Hankin

See Also

group_action,shape

Examples

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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)))))

permutations documentation built on Nov. 13, 2020, 1:14 a.m.