Computing with abelian sections of finitely presentedgroups.

Derek F. Holt and Sarah Rees

Keywords

algorithms, finitely presented groups, computing quotients

Status

Published in J. Algebra 214 (1999) 714--728.

Abstract

Let $G$ be a finitely presented group. This paper describes the theory and practice of a method for obtaining information about the finite and abelian-by-finite quotients of $G$, which often allows computation further down into the group than has been possible by more traditional methods. The paper also describes the authors' software package \quotpic, which provides a user-friendly implementation of the algorithms involved in this method, as part of a complete range of facilities for computing various types of quotients of finitely presented groups. \

The preprint is available as gzipped dvi (24 kB) and postscript (85 kB) files.

Alternatively, you can request a copy by e-mailing me.

Sarah Rees
23 September 1997.