Line spreads of \(PG(5, 2)\). (English) Zbl 1177.51006
The 1-spreads (line spreads) of \(PG(5,2)\) are constructed and subsequently classified with respect to the automorphism group. The authors also address the orders of the automorphism groups preserving one particular spread. The intersection of spread lines with subspaces of dimension \(3\) is also being investigated. The overall number of inequivalent spreads is \(131\,044\). A couple of extensive tables display the respective numbers of types.
The results have been gathered by subtle deliberations supported by computer programs. The whole process has been cross-checked in order to secure the outcome reliability.
The results have been gathered by subtle deliberations supported by computer programs. The whole process has been cross-checked in order to secure the outcome reliability.
Reviewer: Johann Lang (Graz)
MSC:
| 51E23 | Spreads and packing problems in finite geometry |
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