ISSN:
1573-7586
Schlagwort(e):
unital
;
Hermitian curve
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Informatik
,
Mathematik
Notizen:
Abstract We identify the points of PG(2, q) ith the directions of lines in GF(q 3), 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 = p 2 where p is prime then e show that a unital is classical if and only if at least (q - 2) $$\sqrt q$$ secant lines meet it in the points of a Baer subline.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1023/A:1026487412101
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