Finite translation planes with collineation groups doubly transitive on the points at infinity

DOI10.1016/0021-8693(72)90159-7zbMath0243.50011OpenAlexW2012352663MaRDI QIDQ2554548

Terry Czerwinski

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1016/0021-8693(72)90159-7

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Loops, quasigroups (20N05) Combinatorial structures in finite projective spaces (51E20) Affine analytic geometry (51N10)

Related Items

Classifications of finite highly transitive dimensional linear spaces ⋮ A characterization of \(Q(5,q)\) using one subquadrangle \(Q(4,q)\) ⋮ Translation planes of order \(q^2\) admitting a two-transitive orbit of length \(q+1\) on the line at infinity ⋮ On elation Laguerre planes with a two-transitive orbit on the set of generators ⋮ Finite linear spaces with flag-transitive groups ⋮ Unnamed Item ⋮ Transitive groups on the line at infinity of a finite affine plane ⋮ Collineation groups doubly transitive on the point at infinity in an affine plane of order \(2^ r\). ⋮ Simple groups acting two-transitively on the set of generators of a finite elation Laguerre plane ⋮ Pairwise transitive 2-designs ⋮ Affine planes admitting a collineation group with a transitive action on the line at infinity ⋮ Large doubly transitive orbits on a line ⋮ On the action of \(PSU(3,q^ 2)\) on an affine plane of order \(q^ 3\)

Cites Work

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