ALBERT

All Library Books, journals and Electronic Records Telegrafenberg

X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
  • 1
    Electronic Resource
    Electronic Resource
    Characterizations of Buekenhout-Metz unitals (1996)
    Springer
    Geometriae dedicata 59 (1996), S. 29-42 
    Details
    ISSN: 1572-9168
    Keywords: 51E20 ; Buekenhout-Metz unitals ; classical unitals ; Baer sublines
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We give a characterization of the Buekenhout-Metz unitals in PG(2, q 2), in the cases that q is even or q=3, in terms of the secant lines through a single point of the unital. With the addition of extra conditions, we obtain further characterizations of Buekenhout-Metz unitals in PG(2, q 2), for all q. As an application, we show that the dual of a Buekenhout-Metz unital in PG(2, q 2) is a Buekenhout-Metz unital.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00181524
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    On Unitals ith Many Baer Sublines (1999)
    Springer
    Designs, codes and cryptography 17 (1999), S. 237-252 
    Details
    ISSN: 1573-7586
    Keywords: unital ; Hermitian curve
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1026487412101
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...