Abstract
We construct an algebraic function field over a finite field of characteristic 3, which has the Ree group as automorphism group. In this way, we obtain an explicit construction of the Ree group. We also prove, that the function field has as many rational places as possible, and that the number for certain extensions of the ground field reaches the Hasse-Weil bound.
Keywords
- algebraic function fields
- Ree groups
- Hasse-Weil bound
The author is with Mathematical Institute, Building 303, The Technical University of Denmark, DK-2800 Lyngby, Denmark.
This research was done while the author visited The Department of Discrete Mathematics, Eindhoven Technical University, The Netherlands. The visit was supported by a grant from The Danish Research Academy.
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© 1992 Springer-Verlag
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Pedersen, J.P. (1992). A function field related to the Ree group. In: Stichtenoth, H., Tsfasman, M.A. (eds) Coding Theory and Algebraic Geometry. Lecture Notes in Mathematics, vol 1518. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087997
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DOI: https://doi.org/10.1007/BFb0087997
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