Representations of \(SL(2,4)\) on translation planes of even order

DOI10.1007/BF01918142zbMath0534.51003OpenAlexW1982708745MaRDI QIDQ790419

Norman L. Johnson

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf01918142

zbMATH Keywords

Baer subplanessemifieldDempwolff plane

Mathematics Subject Classification ID

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

Related Items (4)

The derivation of dual translation planes ⋮ The non-solvable rank 3 affine planes ⋮ The translation planes of order \(q_ 2\) that admit SL(2,q) as a collineation group. I: Even order ⋮ The translation planes of order 16 that admit nonsolvable collineation groups

Cites Work

• Finite geometries.
• The translation planes of order 16 that admit nonsolvable collineation groups
• A characterization of the Desarguesian planes of order \(q^ 2\) by \(SL(2,q)\)
• A note on the derived semifield planes of order 16
• The geometry of SL(2,q) in translation planes of even order
• Linear transformations and collineations of translation planes
• Translation planes constructed from semifield planes
• On shears of translation planes
• Techniques for Enumerating Veblen-Wedderburn Systems
• The Translation Planes of Dempwolff
• The Translation Planes of Order 16 That Admit SL(2, 4)
• Semi-Translation Planes

This page was built for publication: Representations of \(SL(2,4)\) on translation planes of even order