Subspaces intersecting each element of a regulus in one point, André-Bruck-Bose representation and clubs

zbMath1335.51010arXiv1409.1081MaRDI QIDQ252856

Michel Lavrauw, Corrado Zanella

Publication date: 4 March 2016

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.1081

zbMATH Keywords

subplaneSegre varietyAndré-Bruck-Bose representationclublinear set

Mathematics Subject Classification ID

Combinatorial structures in finite projective spaces (51E20)

Related Items (5)

On the equivalence of linear sets ⋮ Classification of subspaces in \(\mathbb F^2\otimes \mathbb F^3\) and orbits in \(\mathbb F^2 \otimes \mathbb F^3 \otimes \mathbb F^r\) ⋮ Linear sets in the projective line over the endomorphism ring of a finite field ⋮ Subgeometries in the André/Bruck-Bose representation ⋮ On scattered linear sets of pseudoregulus type in \(\operatorname{PG}(1,q^{t})\)

Uses Software

• GAP
• FinInG

Cites Work

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• Geometry of the inversion in a finite field and partitions of \(\mathrm{PG}(2^{k} - 1, q)\) in normal rational curves
• Subgeometries in the André/Bruck-Bose representation
• Desarguesian spreads
• Sublines and subplanes of \(\mathrm{PG}(2,q^{3})\) in the Bruck-Bose representation in \(\mathrm{PG}(6,q)\)
• Linear sets in finite projective spaces
• Concerning a characterisation of Buekenhout-Metz unitals
• Universal properties of the Corrado Segre embedding
• On embeddings of minimum dimension of \(\mathrm{PG}(n,q)\times \mathrm{PG}(n,q)\)
• Subgeometries and linear sets on a projective line
• On linear sets on a projective line
• Field reduction and linear sets in finite geometry
• Translation ovoids of orthogonal polar spaces

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