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On the Grassmanian of lines in PG(4,q) and R(1,2) reguli

โœ Scribed by J. W. Freeman


Book ID
112658711
Publisher
Springer
Year
1974
Tongue
English
Weight
950 KB
Volume
5
Category
Article
ISSN
0047-2468

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๐Ÿ“œ SIMILAR VOLUMES


On the uniqueness of (q + 1)4-arcs of PG
โœ L.R.A Casse; D.G Glynn ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 579 KB

Two results are proved: (1) In PG(3, q), q=2 h, h>~3, every q3-arc can be uniquely completed to a (q + 1)3-arc. (2) In PG(4, q), q = 2", h ~> 3, every (q + 1)4-arc is a normal rational curve. ## 1. In~oduction We assume throughout this paper that the base field GF(q) is of order q = 2 h, where h i

On a set of lines of PG(3,q) correspondi
โœ David G. Glynn ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Springer ๐ŸŒ English โš– 371 KB

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