Sublines and subplanes of \(\mathrm{PG}(2,q^{3})\) in the Bruck-Bose representation in \(\mathrm{PG}(6,q)\)

DOI10.1016/j.ffa.2011.07.001zbMath1261.51006OpenAlexW2210080473MaRDI QIDQ661979

Wen-Ai Jackson, Susan G. Barwick

Publication date: 11 February 2012

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2011.07.001

zbMATH Keywords

Baer subplanesBruck-Bose representation

Mathematics Subject Classification ID

Combinatorial structures in finite projective spaces (51E20)

Related Items

The exterior splash in \(\mathrm{PG}(6, q)\): transversals, Ruled quintic surfaces in \(\mathrm{PG}(6, q)\), The Bose representation of PG(2,q^3) in PG(8,q), Conics in Baer subplanes, A higgledy-piggledy set of planes based on the ABB-representation of linear sets, A characterisation of \(\mathbb{F}_q\)-conics of \(\mathrm{PG}(2,q^3)\), The exterior splash in \(\mathrm{PG}(6, q)\): carrier conics, A characterisation of tangent subplanes of \(\mathrm{PG}(2,q^3)\), Subgeometries in the André/Bruck-Bose representation, An investigation of the tangent splash of a subplane of \(\mathrm{PG}(2,q^3)\), The tangent splash in \(\mathrm{PG}(6, q)\), Subspaces intersecting each element of a regulus in one point, André-Bruck-Bose representation and clubs

Cites Work

• Concerning a characterisation of Buekenhout-Metz unitals
• Linear representations of projective planes in projective spaces
• The construction of translation planes from projective spaces
• Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe
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