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Example of a chain of circles on an elliptic quadric of PG(3, q), q = 7, 11

✍ Scribed by G Korchmáros

Publisher: Elsevier Science
Year: 1981
Tongue: English
Weight: 113 KB
Volume: 31
Category: Article
ISSN: 0097-3165
DOI: 10.1016/0097-3165(81)90056-x

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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