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A Characterisation of the Lines External to an Oval Cone in PG(3,q),qEven

✍ Scribed by S. G. Barwick; David K. Butler

Publisher: Springer
Year: 2009
Tongue: English
Weight: 353 KB
Volume: 93
Category: Article
ISSN: 0047-2468
DOI: 10.1007/s00022-009-1966-2

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The problem is considered of constructing a maximal set of lines, with no three in a pencil, in the finite projective geometry PG(3, q) of three dimensions over GF(q). (A pencil is the set of q + 1 lines in a plane and passing through a point.) It is found that an orbit of lines of a Singer cycle of