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Presentations for Conway's group Co1

Published online by Cambridge University Press:  24 October 2008

Leonard H. Soicher
Leonard H. Soicher
Affiliation:
Department of Computer Science, Concordia University, Montreal, Quebec H3G 1M8, Canada
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Extract

In [2], chapter S, and also in the ATLAS ([1], p. 131), we give two presentations for 3 · Suz: 2, the normalizer of a certain 3-element in Conway's largest sporadic simple group Co1. These presentations extend naturally to presentations for groups having Co1 × 2 as image, leading to conjectured presentations for Co1 × 2 and Co1 (see [1], p. 183, although the form of one of the presentations there is slightly different from what we give here).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 102 , Issue 1 , July 1987 , pp. 1 - 3
Copyright
Copyright © Cambridge Philosophical Society 1987

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References

REFERENCES

[1] Conway, J. H., Curtis, R. T., Norton, S. P., Parker, R. A. and Wilson, R. A.. An ATLAS of Finite Groups (Oxford University Press, 1985).Google Scholar
[2] Soicher, L. H.. Presentations of some finite groups. Ph.D. Thesis, Cambridge University, 1985.Google Scholar
[3] Soicher, L. H.. Presentations for some groups related to Co 1. Proceedings of Computers in Algebra, Chicago, 1985 (to appear).Google Scholar
[4] Soicher, L. H.. From the Monster to the Bimonster. Submitted for publication.Google Scholar