English

A nilpotent quotient algorithm for L-presented groups

Group Theory 2009-11-27 v2

Abstract

The main part of this paper contains a description of a nilpotent quotient algorithm for L-presented groups and a report on applications of its implementation in the computer algebra system GAP. The appendix introduces two new infinite series of L-presented groups. Apart from being of interest in their own right, these new L-presented groups serve as examples for applications of the nilpotent quotient algorithm.

Keywords

Cite

@article{arxiv.0706.3131,
  title  = {A nilpotent quotient algorithm for L-presented groups},
  author = {Bettina Eick and René Hartung and Laurent Bartholdi},
  journal= {arXiv preprint arXiv:0706.3131},
  year   = {2009}
}
R2 v1 2026-06-21T08:40:39.212Z