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A geometric characterization of the perfectRee-Tits generalized octagons

Published online by Cambridge University Press:  01 January 1998

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Abstract

Given a generalized octagon which satisfies certain geometric conditions, we show that it must be isomorphic to the Ree--Tits octagon arisingnaturally from a Ree group of type $^2F_4$ over a perfect field of characteristic 2, in which the Frobenius automorphism has a square root.

1991 Mathematics Subject Classification: 51E12.

Type
Research Article
Copyright
London Mathematical Society 1998

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