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Some finite groups with zero deficiency

Published online by Cambridge University Press:  09 April 2009

J. W. Wamsley
Affiliation:
The Flinders University of South Australia, Bedford Park, South Australia
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Abstract

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We introduce further finite groups which can be presented with an equal number of generators and relations.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1974

References

[1]Hall, Marshall Jr. and James, K. Senior, The groups of order 2n (n ≦ 6) (The Macmillan Co., 1964).Google Scholar
[2]Macdonald, I. D., ‘On a class of finitely presented groups’, Canad. J. Math. 14 (1962), 602613.Google Scholar
[3]Mennicke, J., ‘Einige endliche Gruppen mit drei Erzeugenden und drei Relationen’, Archiv der Math. 10 (1959), 409418.Google Scholar
[4]Wamsley, J. W., ‘A class of three-generator, three-relation, finite groups’, Canad. J. Math. 22 (1970), 3640.CrossRefGoogle Scholar
[5]Wamsley, J. W., ‘The dificiency of metacyclic groups’, Proc. Amer. Math. Soc. 24 (1970), 724726.Google Scholar