The Symmetric Group: Permutations of a Finite Set
Retrieve particular cycles or components of cycles
The identity permutation
Random permutations
Sign of a permutation
Shape of a permutation
The fundamental bijection
Fixed elements
All permutations with given characteristics
Coerce a permutation to a function
Concatenation of permutations
Apply functions to elements of a cycle
Cayley tables for permutation groups
Group-theoretic commutator: the dot object
Are two permutations conjugate?
details of cyclists
Tests for a permutation being a derangement
The dodecahedron group
Faro shuffles
Inverse of a permutation
Keep or discard some cycles of a permutation
Various vector-like utilities for permutation objects.
Plotting routine for megaminx sequences
Null permutations
Arithmetic Ops Group Methods for permutations
Orbits of integers
Outer product of vectors of permutations
Permutation matrices
The order of a permutation
Functions to create and coerce word objects and cycle objects
tools:::Rd_package_title("permutations")
Print methods for permutation objects
Gets or sets the size of a permutation
Stabilizer of a permutation
Utilities to neaten permutation objects
Functions to validate permutations
Manipulates invertible functions from a finite set to itself. Can transform from word form to cycle form and back. To cite the package in publications please use Hankin (2020) "Introducing the permutations R package", SoftwareX, volume 11 <doi:10.1016/j.softx.2020.100453>.
Useful links