Nest replaceable translation planes

DOI10.1007/BF01231022zbMath0695.51004OpenAlexW1998919284MaRDI QIDQ909998

Norman L. Johnson

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf01231022

zbMATH Keywords

nest replacementt-nest of reguli

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Translation planes and spreads in linear incidence geometry (51A40)

Related Items (2)

Mixed nests ⋮ Translation planes admitting many homologies

Cites Work

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• Spreads admitting regular elliptic covers
• André planes and nests of reguli
• Translation planes of order \(q^ 2\) that admit \(q+1\) elations
• Flocks of quadratic cones, generalized quadrangles and translation planes
• Spreads, flocks, and generalized quadrangles
• Some new examples of flocks of \(Q^+(3,q)\)
• Flocks of hyperbolic quadrics and translation planes admitting affine homologies
• On the flocks of \(Q^+(3,q)\)
• Inversive geometry and some new translation planes. I
• Nets with critical deficiency
• Vector spaces and construction of finite projective planes
• Finite translation planes
• Nests of Size q −1 and another Family of Translation Planes
• Indicator Sets, Reguli, and a New Class of Spreads
• Subplanes of Partial Spreads in Translation Planes

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