Package index

All functions

`[`(<free>) `[<-`(<free>)

Extract or replace parts of a free group object

Ops(<free>) free_equal() free_power() free_repeat() juxtapose() inverse(<free>) inverse(<matrix>)

Arithmetic Ops methods for the free group

abelianize() is.abelian()

Abelianization of free group elements

abs(<free>)

Absolute value of a free object

alpha() abc()

Alphabetical free group elements

backwards()

Write free objects backwards

c(<free>) rep(<free>)

Concatenation of free objects

char_to_matrix()

Convert character vectors to free objects

cumsum(<free>)

Cumulative sum

is.cyclically_reduced() as.cyclically_reduced() cyclically_reduce() cyclically_reduce_tietze() is.conjugate_single() `%~%` is.conjugate(<free>) allconj()

Cyclic reductions of a word

donames()

Names attributes of free group elements

`[`(<dot>,<ANY>,<ANY>) `[`(<dot>,<free>,<ANY>,<ANY>)

Class “dot”

free() as.free() is.free() list_to_free()

Objects of class free

freegroup-package freegroup

The Free Group

getlet()

Get letters of a freegroup object

is.id() id()

The identity element

keep() discard()

Keep or drop symbols

permsymb_single_X() permsymb_single_f() permsymb_vec() permsymb() autosub_lowlevel() autosub()

Outer automorphisms of the free group

is.primitive() is.power()

Primitive elements of the free algebra

print(<free>) as.character_free()

Print free objects

reduce() is_reduced() remove_zero_powers() consolidate() is_proper()

Reduction of a word to reduced form

rfree() rfreee() rfreeee()

Random free objects

shift()

Permute elements of a vector in a cycle

size() total() number() bigness()

Bignesses of a free object

subsu() subs() flip()

Substitute and invert symbols

sum(<free>)

Repeated summation by concatenation

tietze(<free>) tietze(<matrix>) vec_to_matrix()

Tietze form for free group objects