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Computing with Abelian Sections of Finitely Presented Groups

✍ Scribed by Derek F. Holt; Sarah Rees

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 100 KB
Volume: 214
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7713

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✦ Synopsis

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 about larger quotients of 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.

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