The Symmetric Group: Permutations of a Finite Set
Manipulates invertible functions from a finite set to itself. Can transform from word form to cycle form and back.
The DESCRIPTION file:
| Package: | permutations |
| Type: | Package |
| Title: | The Symmetric Group: Permutations of a Finite Set |
| Version: | 1.0-9 |
| Imports: | magic,numbers,partitions (>= 1.9-17) |
| Authors@R: | c( person(given=c("Robin", "K. S."), family="Hankin", role = c("aut","cre"), email="hankin.robin@gmail.com", comment = c(ORCID = "0000-0001-5982-0415")), person("Paul", "Egeler", email = "paulegeler@gmail.com", role = c("ctb"), comment = c(ORCID = "0000-0001-6948-9498")) ) |
| Maintainer: | Robin K. S. Hankin <hankin.robin@gmail.com> |
| Description: | Manipulates invertible functions from a finite set to itself. Can transform from word form to cycle form and back. |
| License: | GPL-2 |
| Suggests: | knitr |
| VignetteBuilder: | knitr |
| URL: | https://github.com/RobinHankin/permutations |
| BugReports: | https://github.com/RobinHankin/permutations/issues |
| Author: | Robin K. S. Hankin [aut, cre] (<https://orcid.org/0000-0001-5982-0415>), Paul Egeler [ctb] (<https://orcid.org/0000-0001-6948-9498>) |
Index of help topics:
Ops.permutation Arithmetic Ops Group Methods for permutations
allperms All permutations of a given size
as.function.permutation
Coerce a permutation to a function
c Concatenation of permutations
cayley Cayley tables for permutation groups
commutator Group-theoretic commutator and group action
conjugate Are two permutations conjugate?
cyclist details of cyclists
derangement Tests for a permutation being a derangement
dodecahedron The dodecahedron group
fbin The fundamental bijection
fixed Fixed elements
get1 Retrieve particular cycles or components of
cycles
id The identity permutation
inverse Inverse of a permutation
length.word Various vector-like utilities for permutation
objects.
megaminx megaminx
megaminx_plotter Plotting routine for megaminx sequences
nullperm Null permutations
orbit Orbits of integers
perm_matrix Permutation matrices
permorder The order of a permutation
permutation Functions to create and coerce word objects and
cycle objects
permutations-package The Symmetric Group: Permutations of a Finite
Set
print.permutation Print methods for permutation objects
rperm Random permutations
sgn Sign of a permutation
shape Shape of a permutation
size Gets or sets the size of a permutation
tidy Utilities to neaten permutation objects
valid Functions to validate permutationsNA
Maintainer: Robin K. S. Hankin <hankin.robin@gmail.com>
a <- rperm(10,5) b <- rperm(10,5) a*b inverse(a)
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