A characterization of some translation planes

DOI10.1007/BF02950659zbMath0444.51005OpenAlexW2048947758MaRDI QIDQ1144793

Michael Walker

Publication date: 1979

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02950659

zbMATH Keywords

normalizerDesarguesian planeshearHall planesHering plane

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Translation planes and spreads in linear incidence geometry (51A40)

Related Items (7)

Elementary abelian 2-groups on the line at infinity of translation planes ⋮ Some finite translation planes arising from \(A_ 6\)-invariant ovoids of the Klein quadric ⋮ On subgroups and factor groups of GL(n,q) acting on spreads with the same characteristic ⋮ Translation planes of order 25 admitting a quaternion group of homologies with affine axis ⋮ Partial linear spaces with a rank 3 affine primitive group of automorphisms ⋮ The translation planes of order \(q_ 2\) that admit SL(2,q) as a collineation group. I: Even order ⋮ The translation planes of order \(q_ 2\) that admit SL(2,q) as a collineation group. II: Odd order

Cites Work

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• Baer p-elements in translation planes
• A new class of quasifields
• On shears of translation planes
• The construction of translation planes from projective spaces
• Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe
• Über Perspektivitäten in endlichen projektiven Ebenen
• Endliche Gruppen I
• Subplanes of Partial Spreads in Translation Planes

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