Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-24T12:13:48.639Z Has data issue: false hasContentIssue false
  • English
  • Français

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

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

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, 1984).Google Scholar
[2]Lyons, R.. Evidence for a new finite simple group. J. Algebra 20 (1972), 540–569.CrossRefGoogle Scholar
[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