Inaction A prrrallelism of S3 = PG(3., 4) is a set 9 of 4\*+ 4 + 1 spreads such that, if $I and sz are two distinct spreads of 9, then & and s2 do not have a common line. If all spreads of 9 are regular we say that g is a regular parallelism of SJ. In [3] Bruck studied a amstruction of a projective
Regular Packings of PG (3,q)
β Scribed by T. Penttila; B. William
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 145 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
β¦ Synopsis
Two regular packings of PG(3, q) are constructed whenever q β‘ 2 (mod 3), with each packing admitting a cyclic group of order q 2 +q + 1 acting regularly on the regular spreads in the packing. The resulting families of translation planes of order q 4 include the Lorimer-Rahilly and Johnson-Walker planes of order 16.
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