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A characterization of the known finite Minkowski planes in terms of Klein–Kroll types with respect to \(\mathcal {G}\)-translations
Klein and Kroll classified Minkowski planes with respect to subgroups of Minkowski translations. In this paper we investigate finite Minkowski planes...
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Free Cyclic Submodules in the Context of the Projective Line
We discuss the free cyclic submodules over an associative ring R with unity. Special attention is paid to those which are generated by outliers. This...
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A note on Minkowski planes admitting groups of automorphisms of some large types with respect to homotheties
Monica Klein classified Minkowski planes with respect to linearly transitive subgroups of Minkowski homotheties. She obtained 23 possible types. In...
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A Characterization of Certain Elation Laguerre Planes in Terms of Kleinewillinghöfer Types
We characterize the non-classical 4-dimensional elation Laguerre planes as precisely those 4-dimensional Laguerre planes of Kleinewillinghöfer type...
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On Subplanes of Miquelian Inversive Planes
Precisely the Miquelian inversive planes allow an algebraic representation based on a quadratic field extension. Their automorphism group is also...
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On the matricial version of Fermat–Euler congruences
The congruences modulo the primary numbers n = p a are studied for the traces of the matrices A n and A n -φ( n ) , where A is an integer matrix and φ( n )...
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Local Recognition Of Non-Incident Point-Hyperplane Graphs
Let ℙ be a projective space. By H (ℙ) we denote the graph whose vertices are the non-incident point-hyperplane pairs of ℙ, two vertices ( p,H ) and ( q,I )...
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On Lie’s functional equation of translation type
The functional equation of translation type, as originally introduced by Sophus Lie, will be solved for the paraboloid under various regularity...
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Mathematik von außen betrachtet oder Wir nähern uns der Sache ganz behutsam
Gibt es in der Mathematik überhaupt noch etwas zu erforschen? Dieser Frage liegt die Vorstellung zu Grunde, daß, nachdem der Satz des Pythagoras und...
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Editorial comments. In elementary geometry a quadrangle is a figure consisting of four segments intersecting in four (corner)...
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