Flocks of hyperbolic quadrics and translation planes admitting affine homologies

DOI10.1007/BF01224233zbMath0669.51003OpenAlexW1992849035MaRDI QIDQ1118809

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/bf01224233

zbMATH Keywords

translation planesflocks of hyperbolic quadrics

Mathematics Subject Classification ID

Translation planes and spreads in linear incidence geometry (51A40) Incidence structures embeddable into projective geometries (51A45)

Related Items (14)

Twisted hyperbolic flocks ⋮ The affine plane \(AG(2,q)\), \(q\) odd, has a unique one point extension ⋮ Maximal exterior sets of hyperbolic quadrics: The complete classification ⋮ Mixed nests ⋮ (\(B\))-geometries and flocks of hyperbolic quadrics ⋮ Nest replaceable translation planes ⋮ Homology groups, nearfields and reguli ⋮ Flocks of infinite hyperbolic quadrics ⋮ Flocks and partial flocks of quadrics: A survey ⋮ Spreads admitting regular elliptic covers ⋮ Planes and processes ⋮ Twisted quadrics and \(\alpha\)-flocks ⋮ Tubes in PG\((3,q)\) ⋮ Flocks and partial flocks of hyperbolic quadrics via root systems

Cites Work

• Generalized quadrangles and flocks of cones
• Flocks of quadratic cones, generalized quadrangles and translation planes
• A note on translation planes with large dimension
• A new class of finite translation planes obtained from the exceptional near-fields
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