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A computer-aided analysis of some finitely presented groups

Part of: Group theory and generalizations Special aspects of infinite or finite groups

Published online by Cambridge University Press:  09 April 2009

M. F. Newman  and
E. A. O'Brien
M. F. Newman
Affiliation:
Mathematics Research Section School of Mathematical SciencesAustralian National UniversityGPO Box 4, ACT 2601, Australia
E. A. O'Brien
Affiliation:
Mathematics Research Section School of Mathematical SciencesAustralian National UniversityGPO Box 4, ACT 2601, Australia
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Abstract

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We answer some questions which arise from a recent paper of Campbell, Heggie, Robertson and Thomas on one-relator free products of two cyclic groups. In the process we show how publicly accessible computer programs can be used to help answer questions about finite group presentations.

MSC classification

Secondary: 20-04: Explicit machine computation and programs (not the theory of computation or programming) 20F05: Generators, relations, and presentations
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 53 , Issue 3 , December 1992 , pp. 369 - 376
Copyright
Copyright © Australian Mathematical Society 1992

References

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