## Abstract All line spreads of __PG__(5, 2) are constructed and classified up to equivalence by exhaustive generation considering the specific properties of the automorphism group, and the participation of the spread lines in the subspaces of dimension 3. There are 131,044 inequivalent spreads. Th
Subregular Spreads of PG (5, 2e)
β Scribed by Jeremy M Dover
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 200 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1071-5797
No coin nor oath required. For personal study only.
β¦ Synopsis
The theory of subregular spreads of PG (3, q) was developed by R. H. Bruck (1969, in 00Combinatorial Mathematics and Its Applications,'' Chap. 27, pp. 426}514. Univ. of North Carolina Press, Chapel Hill). An extension of these results was provided to the higher-dimensional case by the author (1998, Finite Fields Appl. 4, 362}380); however, examples of such spreads were only constructed in PG(5, q) for q odd. In this paper, we give a construction of subregular spreads for PG (5, q), where q is even.
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