A characterization of the Desarguesian planes of order \(q^ 2\) by \(SL(2,q)\)

DOI10.1155/S0161171283000551zbMath0519.51002MaRDI QIDQ1054280

Norman L. Johnson, D. A. Foulser, Theodore G. Ostrom

Publication date: 1983

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45123

zbMATH Keywords

translation planeselationstranslation complement

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Translation planes and spreads in linear incidence geometry (51A40) Desarguesian and Pappian geometries (51A30)

Related Items (14)

Collineation groups of translation planes admitting hyperbolic Buekenhout or parabolic Buekenhout-Metz unitals ⋮ On the solvability of the collineation groups of derivable translation planes ⋮ Semifield planes admitting the quaternion group \(Q_8\) ⋮ On subgroups and factor groups of GL(n,q) acting on spreads with the same characteristic ⋮ Bilinear flocks of quadratic cones ⋮ 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 ⋮ Elations in translation planes of order 16 ⋮ Representations of \(SL(2,4)\) on translation planes of even order ⋮ Transitive affine planes admitting elations ⋮ The translation planes of order 16 that admit nonsolvable collineation groups ⋮ The translation planes of Ott-Schaeffer ⋮ On Desarguesian extensions of elation nets ⋮ Translation planes admitting many homologies

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