Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-30T21:28:10.419Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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