On subgroups and factor groups of GL(n,q) acting on spreads with the same characteristic

DOI10.1016/0012-365X(82)90080-2zbMath0501.51003OpenAlexW2049749382MaRDI QIDQ1172272

Vikram Jha

Publication date: 1982

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(82)90080-2

zbMATH Keywords

translation planeDesarguesian planesBaer involutionscounting argumentsHall planesJohnson-Walker planeDenniston-Walker planeHughes-Kleinfeld semifield planeLorimer-Johnson planeunimodular projective linear group

Mathematics Subject Classification ID

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

Cites Work

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• On the Lorimer-Rahilly and Johnson-Walker translation planes
• A characterization of the Desarguesian planes of order \(q^ 2\) by \(SL(2,q)\)
• On finite semitransitive translation planes
• Elementary Abelian 2-groups in finite translation planes
• A characterization of some translation planes
• On transitive automorphism groups of finite quasifields
• On tangentially transitive translation planes and related systems
• The translation planes of order 16 that admit PSL(2,7)
• A projective plane of order 16
• Finite translation planes
• On Spreads Admitting Projective Linear Groups
• A Note on Tangentially Transitive Affine Planes
• Endliche Gruppen I
• Subplanes of Partial Spreads in Translation Planes

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