On Unitals ith Many Baer Sublines |
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| Authors: | Simeon Ball Aart Blokhuis Christine M. O'Keefe |
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| Affiliation: | (1) Technische Universiteit Eindhoven, PO Box 513, 5600 MB Eindhoven, The Netherlands;(2) Department of Pure Mathematics, The University of Adelaide, 5005, Australia |
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| Abstract: | We identify the points of PG(2, q) ith the directions of lines in GF(q3), viewed as a 3-dimensional affine space over GF(q). Within this frameork we associate to a unital in PG(2, q) a certain polynomial in to variables, and show that the combinatorial properties of the unital force certain restrictions on the coefficients of this polynomial. In particular, if q = p2 where p is prime then e show that a unital is classical if and only if at least (q - 2) secant lines meet it in the points of a Baer subline. |
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| Keywords: | unital Hermitian curve |
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