J Austral Math Soc Ser A 46 pp132--136, 1989.

More on Finite Groups with Few Defining Relations

J. L. Mennicke and B. H. Neumann

Abstract

Certain central products of the binary polyhedral groups with finite cyclic groups are here shown to have presentations with two generators and two defining relations; this disproves a conjecture of the second author, stated in J. Austral. Math. Soc. Ser. A 38 (1985), 230-240.

1980 AMS Subject Classification (1985 Revision): 20F05

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Authors

J. L. Mennicke

Facultät für Mathematik, Universität Bielefeld, D-4800 Bielfeld 1, Germany.

B. H. Neumann

Department of Mathmatics, Institute of Advanced Studies, Australian National Univeristy, Canberra, ACT 2601.

and

Division of Mathematics and Statistics, Commonwealth Scientific and Industrial Research Organization, Canberra, ACT 2601, Australia.