commutator

0th

Percentile

Group-theoretic commutator and group action

Group-theoretic commutator, defined as \([x,y]=x^{-1}y^{-1}xy\)

Usage
commutator(x, y)
Arguments
x,y

Permutation objects, coerced to word

See Also

group_action

Aliases
  • commutator
Examples
# NOT RUN {
x <- rperm(10,7)
y <- rperm(10,8)
z <- rperm(10,9)

uu <- 
commutator(commutator(x,y),z^x) *
commutator(commutator(z,x),y^z) *
commutator(commutator(y,z),x^y) 

stopifnot(all(is.id(uu)))  # this is the  Hall-Witt identity

# }
Documentation reproduced from package permutations, version 1.0-5, License: GPL-2

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