Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-16T18:04:33.771Z Has data issue: false hasContentIssue false

The maximal subgroups of M24

Published online by Cambridge University Press:  24 October 2008

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

Extract

In this paper, which assumes a familiarity with (1), we produce a short proof of the following theorem. The proof uses MOG techniques to extend a powerful observation of Conway (2) on intransitive subgroups of M24.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1977

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)Curtis, R. T.A new combinatorial approach to M 24. Math. Proc. Cambridge Philos. Soc. 79 (1976), 2542.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)Wielandt, H.Finite permutation groupa (New York, Academic Press, 1964).Google Scholar