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A new approach to the Suzuki groups

Published online by Cambridge University Press:  20 November 2009

ROBERT A. WILSON
Affiliation:
School of Mathematical Sciences, Queen Mary University of London, Mile End Road, London E1 4NS.

Extract

There are many constructions of the Suzuki groups in the literature (see for example Suzuki's original paper [3], as well as [1, 2, 4]), and one needs to make a strong case to justify publishing another. Yet I believe the construction below is sufficiently new and sufficiently elementary that in time it will come to be regarded as the standard construction.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 2009

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References

[1]Carter, R. W.Simple Groups of Lie type (Wiley, 1972).Google Scholar
[2]Lüneburg, H.Die Suzukigruppen und ihre Geometrien (Springer, 1965).Google Scholar
[3]Suzuki, M.On a class of doubly transitive groups. Ann. Math. 75 (1962), 105145.CrossRefGoogle Scholar
[4]Tits, J.Ovoïdes et groupes de Suzuki. Arch. Math. 13 (1962), 187198.CrossRefGoogle Scholar
[5]Wilson, R. A. Another new approach to the small Ree groups, submitted.Google Scholar
[6]Wilson, R. A. A simple construction of the Ree groups of type 2F 4. J. Algebra, to appear.Google Scholar
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