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A new approach to the Suzuki groups


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.

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[1]Carter R. W. Simple Groups of Lie type (Wiley, 1972).
[2]Lüneburg H. Die Suzukigruppen und ihre Geometrien (Springer, 1965).
[3]Suzuki M. On a class of doubly transitive groups. Ann. Math. 75 (1962), 105145.
[4]Tits J. Ovoïdes et groupes de Suzuki. Arch. Math. 13 (1962), 187198.
[5]Wilson R. A. Another new approach to the small Ree groups, submitted.
[6]Wilson R. A. A simple construction of the Ree groups of type 2F 4. J. Algebra, to appear.
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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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