The Free Group
![[R logo]](../../../doc/html/Rlogo.svg)
![[Up]](../../../doc/html/left.jpg)
![[Top]](../../../doc/html/up.jpg)
Documentation for package ‘freegroup’ version 1.2-0
Help Pages
A B C D E F G I J K L N O P R S T V misc
| freegroup-package | The Free Group |
-- A --
| abc | Alphabetical free group elements |
| abelianize | Abelianization of free group elements |
| abelianized | Abelianization of free group elements |
| abs | Absolute value of a 'free' object |
| abs.free | Absolute value of a 'free' object |
| allconj | Cyclic reductions of a word |
| alpha | Alphabetical free group elements |
| alphabet | Alphabetical free group elements |
| as.character_free | Print free objects |
| as.cyclically_reduced | Cyclic reductions of a word |
| as.free | Objects of class 'free' |
| automorphism | Outer automorphisms of the free group |
| automorphisms | Outer automorphisms of the free group |
| autosub | Outer automorphisms of the free group |
| autosub_lowlevel | Outer automorphisms of the free group |
-- B --
| backwards | Write free objects backwards |
| bigness | Bignesses of a free object |
-- C --
| c | Concatenation of free objects |
| c.free | Concatenation of free objects |
| char_to_free | Convert character vectors to free objects |
| char_to_matrix | Convert character vectors to free objects |
| commutator | Class "dot" |
| conjugate | Cyclic reductions of a word |
| consolidate | Reduction of a word to reduced form |
| cumsum | Cumulative sum |
| cumsum.free | Cumulative sum |
| cyclic | Cyclic reductions of a word |
| cyclically | Cyclic reductions of a word |
| cyclically_reduce | Cyclic reductions of a word |
| cyclically_reduced | Cyclic reductions of a word |
| cyclically_reduce_tietze | Cyclic reductions of a word |
| cyclic_reduction | Cyclic reductions of a word |
| cycred | Cyclic reductions of a word |
-- D --
| discard | Keep or drop symbols |
| donames | Names attributes of free group elements |
| dot | Class "dot" |
| dot-class | Class "dot" |
| dot_error | Class "dot" |
| drop | Keep or drop symbols |
| drop.free | Keep or drop symbols |
-- E --
| extract | Class "dot" |
| Extract.free | Extract or replace parts of a free group object |
-- F --
| flip | Substitute and invert symbols |
| free | Objects of class 'free' |
| free-class | Objects of class 'free' |
| freegroup | The Free Group |
| freeprod | Repeated summation by concatenation |
| free_equal | Arithmetic Ops methods for the free group |
| free_power | Arithmetic Ops methods for the free group |
| free_repeat | Arithmetic Ops methods for the free group |
-- G --
| getlet | Get letters of a freegroup object |
-- I --
| id | The identity element |
| identity | The identity element |
| inverse | Arithmetic Ops methods for the free group |
| inverse.free | Arithmetic Ops methods for the free group |
| inverse.matrix | Arithmetic Ops methods for the free group |
| is.abelian | Abelianization of free group elements |
| is.conjugate | Cyclic reductions of a word |
| is.conjugate.free | Cyclic reductions of a word |
| is.conjugate_single | Cyclic reductions of a word |
| is.cyclically.reduced | Cyclic reductions of a word |
| is.cyclically_reduced | Cyclic reductions of a word |
| is.free | Objects of class 'free' |
| is.id | The identity element |
| is.id.free | The identity element |
| is.identity | The identity element |
| is.power | Primitive elements of the free algebra |
| is.primitive | Primitive elements of the free algebra |
| is_proper | Reduction of a word to reduced form |
| is_reduced | Reduction of a word to reduced form |
-- J --
| jacobi | Class "dot" |
| juxtapose | Arithmetic Ops methods for the free group |
-- K --
| keep | Keep or drop symbols |
-- L --
| list_to_free | Objects of class 'free' |
-- N --
| names | Names attributes of free group elements |
| neutral | The identity element |
| nielsen | Outer automorphisms of the free group |
| number | Bignesses of a free object |
-- O --
| ops | Arithmetic Ops methods for the free group |
| Ops.free | Arithmetic Ops methods for the free group |
| outer | Outer automorphisms of the free group |
-- P --
| permsymb | Outer automorphisms of the free group |
| permsymb_single_f | Outer automorphisms of the free group |
| permsymb_single_X | Outer automorphisms of the free group |
| permsymb_vec | Outer automorphisms of the free group |
| primitive | Primitive elements of the free algebra |
| print.free | Print free objects |
| print.freegroup | Print free objects |
| prodfree | Repeated summation by concatenation |
-- R --
| reduce | Reduction of a word to reduced form |
| remove_zero_powers | Reduction of a word to reduced form |
| rep.free | Concatenation of free objects |
| retain | Keep or drop symbols |
| rfree | Random free objects |
| rfreee | Random free objects |
| rfreeee | Random free objects |
-- S --
| shift | Permute elements of a vector in a cycle |
| size | Bignesses of a free object |
| subs | Substitute and invert symbols |
| subsu | Substitute and invert symbols |
| sum | Repeated summation by concatenation |
| sum.free | Repeated summation by concatenation |
-- T --
| Tietze | Tietze form for free group objects |
| tietze | Tietze form for free group objects |
| tietze.free | Tietze form for free group objects |
| tietze.matrix | Tietze form for free group objects |
| total | Bignesses of a free object |
-- V --
| vec_to_matrix | Tietze form for free group objects |
-- misc --
| %~% | Cyclic reductions of a word |
| . | Class "dot" |
| [-method | Class "dot" |
| [.dot | Class "dot" |
| [.free | Extract or replace parts of a free group object |
| [<-.free | Extract or replace parts of a free group object |