Polarities of shift planes

DOI10.1515/ADVGEOM.2009.028zbMath1181.51003OpenAlexW2065598595MaRDI QIDQ3643534

Norbert Knarr, Markus Johannes Stroppel

Publication date: 9 November 2009

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom.2009.028

zbMATH Keywords

projective planestranslation planespolaritiesshift planes

Mathematics Subject Classification ID

Translation planes and spreads in linear incidence geometry (51A40)

Related Items (8)

Unitals in shift planes of odd order ⋮ Generalized quadrangles, Laguerre planes and shift planes of odd order ⋮ Polarities and unitals in the Coulter-Matthews planes ⋮ On elation Laguerre planes with a two-transitive orbit on the set of generators ⋮ Unnamed Item ⋮ Polarities of Schellhammer planes ⋮ ‐Relative Difference Sets and Their Representations ⋮ Heisenberg groups, semifields, and translation planes

Cites Work

• Planar functions and planes of Lenz-Barlotti class II
• Proof of the oval conjecture for planar partition functions
• Rotationsflächen-Ebenen. (Planes of surfaces of rotation)
• 4-dimensionale projektive Ebenen mit großer abelscher Kollineationsgruppe. (Four-dimensional projective planes with large abelian collineation group)
• On a theorem of Ganley
• Factor sets associated with regular collineation groups
• Point homogeneous flat affine planes
• Projective planes of order \(q\) whose collineation groups have order \(q^ 2\)
• Continuous planar functions
• Commutative semifields and symplectic spreads.
• Arcs and ovals from abelian groups
• Polarities of compact eight-dimensional planes
• Planes of order \(n\) with collineation groups of order \(n^ 2\)
• Zur Klassifikation topologischer Ebenen. III
• Polarities in translation planes
• Über Perspektivitäten in endlichen projektiven Ebenen
• Proof of the prime power conjecture for projective planes of order 𝑛 with abelian collineation groups of order 𝑛²
• Symplectic semifield planes and ℤ₄–linear codes
• The Structure of Alternative Division Rings
• Polarities in finite projective planes
• Gruppentheoretische Kennzeichnungen der endlichen desarguesschen Ebenen.

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