Journal of Algebraic Combinatorics

, Volume 4, Issue 2, pp 145–164

An Essay on the Ree Octagons

  • M. Joswig
  • H. Van Maldeghem
Article

Abstract

We coordinatize the Moufang generalized octagons arising from the Ree groups of type 2F4. 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.

Tits building generalized octagon group of projectivities coordinatization 

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Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • M. Joswig
    • 1
  • H. Van Maldeghem
    • 2
  1. 1.Mathematisches InstitutUniversität TübingenTübingenGermany
  2. 2.Department of Pure Mathematics and Computer AlgebraUniversity GhentGhentBelgium

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