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The subgroup structure of the Lyons group

Published online by Cambridge University Press:  24 October 2008

Robert A. Wilson
Robert A. Wilson
Affiliation:
Department of Pure Mathematics and Mathematical Statistics, University of Cambridge
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Extract

The main purpose of this paper is to classify the maximal p-local subgroups of the Lyons group Ly, of order 51,765,179,004,000,000 = 28.37.56.7.11.31.37.67, for each primes dividing the order of the group. We also determine which of these are maximal subgroups of Ly, and in Sections 5 and 6 we give some information on the non-local subgroups.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 95 , Issue 3 , May 1984 , pp. 403 - 409
Copyright
Copyright © Cambridge Philosophical Society 1984

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References

REFERENCES

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[3]Sims, C. C.. The existence and uniqueness of Lyons' group. In Finite Groups '72 (Gagen, , Hale, and Shult, , eds.) (North-Holland, Amsterdam, 1973), 138–141.Google Scholar