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Computing with Abelian sections of finitely presented groups

Lookup NU author(s): Professor Sarah Rees

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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 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. (C) 1999 Academic Press.

Publication metadata

Author(s): Holt DF, Rees S

Publication type: Article

Publication status: Published

Journal: Journal of Algebra

Year: 1999

Volume: 214

Issue: 2

Pages: 714-728

Print publication date: 01/04/1999

ISSN (print): 0021-8693

ISSN (electronic): 1090-266X

Publisher: Academic Press

URL: http://dx.doi.org/10.1006/jabr.1998.7713

DOI: 10.1006/jabr.1998.7713

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