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A computer proof of relations in a certain class of groups

Published online by Cambridge University Press:  14 November 2011

Edmund F. Robertson  and
Kevin Rutherford
Edmund F. Robertson
Affiliation:
Department of Mathematical Sciences, University of St Andrews, Mathematical Institute, North Haugh, St Andrews KY16 9SS, Scotland, U.K
Kevin Rutherford
Affiliation:
Department of Mathematical Sciences, University of St Andrews, Mathematical Institute, North Haugh, St Andrews KY16 9SS, Scotland, U.K
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Synopsis

A gp-toolkit consisting of computer implementations of various group theory methods, in particular a Tietze transformation program, was designed. Special cases of a conjecture were solved by the gp-toolkit. Examination of the method used by the gp-toolkit to deduce relations showed that a general approach had been employed. We present a proof verifying that the conjecture is true which is a straightforward generalisation of the method discovered by the gp-toolkit.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 117 , Issue 1-2 , 1991 , pp. 109 - 114
Copyright
Copyright © Royal Society of Edinburgh 1991

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References

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3Havas, G., Kenne, P. E., Richardson, J. S. and Robertson, E. F.. A Tietze transformation program. In Computational Group Theory, pp. 69–74 (London: Academic Press, 1984).Google Scholar
4Rutherford, K.. Computational techniques applied to group presentations (Ph.D. Thesis, University of St Andrews, 1989).Google Scholar