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The maximal subgroups of Fi22

Published online by Cambridge University Press:  24 October 2008

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

In this paper we complete the enumeration, begun in [5], of the maximal subgroups of the Fischer group Fi22 and its automorphism group Fi22:2. It turns out that the lists of maximal subgroups given in [5] and [2] are complete. (Note however that in ([5], theorem (A) (iii)), ) should read .) More precisely, we prove

Main Theorem (i) The simple group Fi22 has exactly 14 conjugacy classes of maximal subgroups, as follows:

(ii) The group Aut (Fi22) ≅ Fi22: 2 has exactly 13 conjugacy classes of maximal subgroups, as follows:

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 102 , Issue 1 , July 1987 , pp. 17 - 23
Copyright
Copyright © Cambridge Philosophical Society 1987

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References

REFERENCES

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