The Symmetric Group: Permutations of a Finite Set
Fixed elements
Null permutations
Arithmetic Ops Group Methods for permutations
The fundamental bijection
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
Retrieve particular cycles or components of cycles
The identity permutation
Inverse of a permutation
Various vector-like utilities for permutation objects.
Plotting routine for megaminx sequences
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
Random permutations
Sign of a permutation
Shape of a permutation
Gets or sets the size 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