Package: freegroup 1.2-1

freegroup: The Free Group

The free group in R; juxtaposition is represented by a plus. Includes inversion, multiplication by a scalar, group-theoretic power operation, and Tietze forms. To cite the package in publications please use Hankin (2022) <doi:10.48550/ARXIV.2212.05883>.

Authors:Robin K. S. Hankin [aut, cre]

freegroup_1.2-1.tar.gz
freegroup_1.2-1.zip(r-4.7)freegroup_1.2-1.zip(r-4.6)freegroup_1.2-1.zip(r-4.5)
freegroup_1.2-1.tgz(r-4.6-any)freegroup_1.2-1.tgz(r-4.5-any)
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freegroup_1.2-1.tgz(r-4.6-emscripten)
manual.pdf |manual.html✨
DESCRIPTION |NEWS
card.svg |card.png
freegroup/json (API)

# Install 'freegroup' in R:

install.packages('freegroup', repos = c('https://robinhankin.r-universe.dev', 'https://cloud.r-project.org'))

Bug tracker:https://github.com/robinhankin/freegroup/issues

Pkgdown/docs site:https://robinhankin.github.io

Datasets:

. - Class "dot"

On CRAN:

5.15 score 35 scripts 349 downloads 57 exports 16 dependencies

Last updated from:a869448cc8. Checks:7 ERROR, 2 OK. Indexed: yes.

Target	Result	Time
linux-devel-x86_64	ERROR	187
source / vignettes	OK	194
linux-release-x86_64	ERROR	155
macos-release-arm64	ERROR	101
macos-oldrel-arm64	ERROR	148
windows-devel	ERROR	131
windows-release	ERROR	115
windows-oldrel	ERROR	129
wasm-release	OK	135

Exports:%~%abc abelianize allconj alpha as.character_free as.cyclically_reduced as.free autosub autosub_lowlevel backwards bigness char_to_free char_to_matrix consolidate cyclically_reduce cyclically_reduce_tietze discard donames flip free free_equal free_power free_repeat getlet id inverse is_proper is_reduced is.abelian is.conjugate is.conjugate_single is.cyclically_reduced is.free is.id is.power is.primitive juxtapose keep list_to_free number permsymb permsymb_single_f permsymb_single_X permsymb_vec reduce remove_zero_powers rfree rfreee rfreeee shift size subs subsu tietze total vec_to_matrix

Dependencies:abind digest disordR freealg gmp lattice magic magrittr Matrix partitions plyr polynom rbibutils Rcpp Rdpack sets

The freegroup package

Introduction | The package in use | Conclusions and further work

Rendered fromfreegroup.Rnwusingutils::Sweave

Last update: 2026-07-01
Started: 2019-02-21

Citation

Development and contributors

Readme and manuals

Help Manual

Help page	Topics
The Free Group	freegroup-package freegroup
Abelianization of free group elements	abelianize abelianized is.abelian
Absolute value of a 'free' object	abs abs.free
Alphabetical free group elements	abc alpha alphabet
Write free objects backwards	backwards
Concatenation of free objects	c c.free rep.free
Convert character vectors to free objects	char_to_free char_to_matrix
Cumulative sum	cumsum cumsum.free
Cyclic reductions of a word	%~% allconj as.cyclically_reduced conjugate cyclic cyclically cyclically_reduce cyclically_reduced cyclically_reduce_tietze cyclic_reduction cycred is.conjugate is.conjugate.free is.conjugate_single is.cyclically.reduced is.cyclically_reduced
Names attributes of free group elements	donames names
Class "dot"	. commutator dot dot-class dot_error extract jacobi [,dot,ANY,ANY-method [,dot,ANY,missing-method [,dot,free,ANY,ANY-method [,dot,free,ANY-method [,dot,matrix,matrix-method [,dot,missing,ANY-method [,dot,missing,missing-method [,dot-method [.dot
Extract or replace parts of a free group object	Extract.free [.free [<-.free
Objects of class 'free'	as.free free free-class is.free list_to_free
Get letters of a freegroup object	getlet
The identity element	id identity is.id is.id.free is.identity neutral
Keep or drop symbols	discard drop drop.free keep retain
Outer automorphisms of the free group	automorphism automorphisms autosub autosub_lowlevel nielsen outer permsymb permsymb_single_f permsymb_single_X permsymb_vec
Arithmetic Ops methods for the free group	free_equal free_power free_repeat inverse inverse.free inverse.matrix juxtapose ops Ops.free
Primitive elements of the free algebra	is.power is.primitive primitive
Print free objects	as.character_free print.free print.freegroup
Reduction of a word to reduced form	consolidate is_proper is_reduced reduce remove_zero_powers
Random free objects	rfree rfreee rfreeee
Permute elements of a vector in a cycle	shift
Bignesses of a free object	bigness number size total
Substitute and invert symbols	flip subs subsu
Repeated summation by concatenation	freeprod prodfree sum sum.free
Tietze form for free group objects	Tietze tietze tietze.free tietze.matrix vec_to_matrix