Translation planes constructed by multiple hyper-regulus replacement

DOI10.1007/S00022-009-0008-4zbMath1183.51003OpenAlexW2062054990MaRDI QIDQ1037214

Norman L. Johnson, Vikram Jha

Publication date: 13 November 2009

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-009-0008-4

zbMATH Keywords

hyper-regulusAndré hyper-regulimultiple replacement

Mathematics Subject Classification ID

Spreads and packing problems in finite geometry (51E23) Translation planes and spreads in linear incidence geometry (51A40)

Cites Work

• Unnamed Item
• Translation planes of order \(q^ 2\) that admit \(q+1\) elations
• Lifting subregular spreads
• A new class of translation planes constructed by hyper-regulus replacement
• Subregular spreads of \({\mathcal PG}(2n+1,q)\)
• Quasi-subgeometry partitions of projective spaces
• Hyper-reguli and non-André quasi-subgeometry partitions of projective spaces
• Circle geometry in higher dimensions. II
• Circle geometry and three-dimensional subregular translation planes
• Collineation groups of translation planes constructed by multiple hyper-regulus replacement
• Subregular spreads of \(\text{PG}(5,2^e)\)
• Retracting spreads

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