Invertible sharply \(n\)-transitive sets

DOI10.1006/jcta.1997.2840zbMath0898.51011OpenAlexW2046749854MaRDI QIDQ1380351

Burkhard Polster

Publication date: 25 October 1998

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcta.1997.2840

zbMATH Keywords

Minkowski planeovalabstract ovalsharply \(n\)-transitive set

Mathematics Subject Classification ID

Blocking sets, ovals, (k)-arcs (51E21) Incidence structures embeddable into projective geometries (51A45) Minkowski geometries in nonlinear incidence geometry (51B20) Topological nonlinear incidence structures (51H15) Topological linear incidence structures (51H10)

Related Items (3)

The piecewise projective group as group of projectivities ⋮ A construction and characterization of new sharply 3-transitive permutation sets contained in \(P\varGamma L(2,K)\) ⋮ Each invertible sharply \(d\)-transitive finite permutation set with \(d\geq 4\) is a group

Cites Work

• The B-ovals of order \(q\leq 8\)
• A characterization of the sharply 3-transitive finite permutation groups
• Laguerre and Minkowski planes produced by dilatations
• Topologische Ovale
• Finite Minkowski planes in which every circle-symmetry is an automorphism
• Automorphisms of \((B)\)-geometries
• The Apollonius problem in flat Laguerre planes
• The groups of projectivities of \(B\)-ovals
• Scharf n-fach transitive Permutationsmengen
• A Buekenhout oval which is not projective
• Minkowski-Ebenen mit Spiegelungen
• A family of 2-dimensional Minkowski planes with small automorphism groups
• The Apollonius problem in four-dimensional Laguerre planes
• Over the non-existence of sharply 3-transitive permutation sets containing sharply 2-transitive permutation subsets
• Each invertible sharply \(d\)-transitive finite permutation set with \(d\geq 4\) is a group
• Topological planes
• Symmetrische Minkowski-Ebenen
• Cut and Paste in 2-Dimensional Projective Planes and Circle Planes
• A characterization of PGL(2,q), q odd
• A result concerning the existence of certain finite Minkowski-2- structures
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