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Pencils of translation ovals in translation planes
Geometriae Dedicata, 1994Let \({\mathcal T}\) be a translation plane of even order \(q\) with translation line \(I_ \infty\). An oval \({\mathcal O}\) in \({\mathcal T}\) is called a translation oval if \(I_ \infty\) is a tangent at a point \(a\) and if the stabilizer of \({\mathcal O}\) in the translation group acts transitively on \({\mathcal O}\setminus\{a\}\).
Glynn, D. G., Steinke, G. F.
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On Translations in General Plane Geometries
American Journal of Mathematics, 1938In a well-known paper, Hilbelt 1 has characterized the Euclidean and hyperbolic plane geometries by mere group and continuity axioms. He gets all the motions at once by requiring the existence of sufficiently many rotations. The present paper tries to point out how the existence of more and more translations gradually specializes the rather general ...
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Homologies in Translation Planes
Proceedings of the London Mathematical Society, 1973openaire +2 more sources
Foundations of Translation Planes
2001BILIOTTI, Mauro, JHA V., JOHNSON N. L.
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Maximal Baer groups in translation planes and compatibility with homology groups
Geometriae Dedicata, 1996Mauro Biliotti +2 more
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More translation planes and semifields from Dembowski–Ostrom polynomials
Designs, Codes, and Cryptography, 2012Ulrich Dempwolff, Dempwolff Ulrich
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