An Essay on the Ree Octagons

Journal of Algebraic Combinatorics - Tập 4 Số 2 - Trang 145-164 - 1995
Joswig, M.1, Maldeghem, H. Van2
1Mathematisches Institut, Universität Tübingen, Tübingen, Germany
2Department of Pure Mathematics and Computer Algebra, University Ghent, Ghent, Belgium

Tóm tắt

We coordinatize the Moufang generalized octagons arising from the Ree groups of type 2 F 4. In this way, we obtain a very concrete and explicit description of these octagons. We use this to prove some results on suboctagons, generalized homologies, Suzuki-Tits ovoids and groups of projectivities of the Ree octagons. All our results hold for arbitrary Ree octagons, finite or not.

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