Abstract
We point out some common features (many valid for admissible infinite fields) of Suzuki and Ree groups (Propositions ??, ?? and Sect. ??.C,E,F), leading to a proof of the uniqueness, up to conjugacy, of 2 B 2(22n + 1) in B 2(22n + 1), 2 G 2(32n + 1) in G 2(32n + 1) and the possibilities for the structure of the normalizer in F 4(22n + 1) of the centre of a Sylow 2-subgroup of 2 F 4(22m + 1).
Subject Classifications: 20E, 20G
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Sastry, N.S.N. (2012). Some Equations Over Finite Fields Related to Simple Groups of Suzuki and Ree Types. In: Sastry, N. (eds) Buildings, Finite Geometries and Groups. Springer Proceedings in Mathematics, vol 10. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0709-6_12
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DOI: https://doi.org/10.1007/978-1-4614-0709-6_12
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