Buekenhout-Tits Unitals
G.L. Ebert
DOI: 10.1023/A:1008691020874
Abstract
A Buekenhout-Tits unital is defined to be a unital in PG(2, q 2) obtained by coning the Tits ovoid using Buekenhout”s parabolic method. The full linear collineation group stabilizing this unital is computed, and related design questions are also addressed. While the answers to the design questions are very similar to those obtained for Buekenhout-Metz unitals, the group theoretic results are quite different
Pages: 133–140
Keywords: buekenhout unital; Tits ovoid
Full Text: PDF
References
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3. A. Barlotti, “Un'estensione del teorema di Segre-Kustaanheimo,” Boll. Un. Mat. Ital. 10 (1955), 498-504.
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5. S.G. Barwick, “A characterization of the classical unital,” Geom. Dedicata. 52 (1994), 175-180.
6. A.E. Brouwer, “Some unitals on 28 points and their embeddings in projective planes of order 9,” Geometries and Groups, Lecture Notes in Mathematics, Springer-Verlag, New York/Berlin, 1981, Vol. 893, pp. 183-188.
7. R.H. Bruck and R.C. Bose, “The construction of translation planes from projective spaces,” J. Algebra 1 (1964), 85-102.
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18. J. Tits, “Ovoides et groupes de Suzuki,” Arch. Math. 13 (1962), 187-198.