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A new combinatorial approach to M24

Published online by Cambridge University Press:  24 October 2008

R. T. Curtis
Affiliation:
Department of Pure Mathematics and Statistics, Cambridge

Extract

In this paper, we define M24 from scratch as the subgroup of S24 preserving a Steiner system S(5, 8, 24). The Steiner system is produced and proved to be unique and the group emerges naturally with many of its properties apparent.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1976

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References

REFERENCES

(1)Curtis, R. T. On the Mathieu Group M 24 and Related Topics. Ph.D. Thesis, Cambridge1972.Google Scholar
(2)Conway, J. H. Three Lectures on Exceptional Groups. Chap. VII in Finite Simple Groups (M. B. Powell and G. Higman).Google Scholar
(3)Todd, J. A.Ann. Mat. Pura Appl. series IV, 71 (1966), 199238.CrossRefGoogle Scholar