Translation planes. Foundations and construction principles
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Publication:1899205
DOI10.1007/BFb0096310zbMath0843.51004OpenAlexW4242013444MaRDI QIDQ1899205
Publication date: 9 October 1995
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bfb0096310
Translation planes and spreads in linear incidence geometry (51A40) Kinematic spaces (51J15) Topological linear incidence structures (51H10) Research exposition (monographs, survey articles) pertaining to geometry (51-02)
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On the mathematical foundations of mutually unbiased bases ⋮ Lie groups as multiplication groups of topological loops ⋮ Scattered linear sets in a finite projective line and translation planes ⋮ Geometric structures on finite- and infinite-dimensional Grassmannians ⋮ Linear sets in the projective line over the endomorphism ring of a finite field ⋮ Translation generalized quadrangles ⋮ Infinite cyclic projective skew translation quadrangles do not exist ⋮ Multiplicative loops of topological quasifields ⋮ Regular parallelisms from generalized line stars in \(P_{3} \mathbb{R}\): a direct proof ⋮ Complex curves as lines of geometries ⋮ Multiplicative loops of quasifields having complex numbers as kernel ⋮ Pencilled regular parallelisms ⋮ Sixteen-dimensional locally compact planes of Lenz-type V on which \(\mathrm{SU}_2\mathbb{H}\) acts as a group of collineations ⋮ Right nuclear decomposition of generalized André systems ⋮ Clifford parallelisms defined by octonions ⋮ Multiplicative Loops of 2-Dimensional Topological Quasifields ⋮ Affine spaces within projective spaces ⋮ Compact connected translation generalized quadrangles ⋮ Regular parallelisms on \(\mathrm{PG}(3, \mathbb{R} )\) from generalized line stars: the oriented case ⋮ A note on the Kleinewillinghöfer types of 4-dimensional Laguerre planes
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