Skip to content

Nilpotent quotients of groups, Lie and associative algebras

Notifications You must be signed in to change notification settings

laurentbartholdi/anq

Folders and files

NameName
Last commit message
Last commit date

Latest commit

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

Repository files navigation

anq

A nilpotent quotient algorithm for groups, Lie and associative algebras.

Input is a finite presentation, or more generally, a finite L-presentation, for a group or algebra.

Output is the quotient by the nth term of an appropriate series, given by a consistent nilpotent presentation.

The possible series are:

  • lower central series gamma_{n+1} = [G,gamma_n]
  • dimension series G_{n+1} = [G,G_n]G_{n/p}^p
  • N-central series zeta_{n+1} = [G,zeta_n] zeta_{n-1}^N

The code is loosely based on Csaba Schneider's Lie nilpotent quotient code, and Wernel Nickel's NQ code.

The contents of the library is:

doc: documentations; exs: example files; gap: an interface to gap; src: the C source code for anq; tst: anq outputs corresponding to the files in 'exs'.