zbMath0258.50024MaRDI QIDQ5674022
Walter Benz
Publication date: 1973
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Erdős-Ko-Rado theorems for ovoidal circle geometries and polynomials over finite fields ⋮
Unnamed Item ⋮
Miquelian theorems in Minkowski planes ⋮
An axiom system for partial affine spaces ⋮
Chain spaces over Jordan systems ⋮
Spheres of quadratic field extensions ⋮
On Minkowski planes with transitive groups of homotheties ⋮
Miquelian theorems in Minkowski planes. I ⋮
Generalized cones and Laguerre planes ⋮
A special Julia set over double numbers ⋮
Algebras and orthogonal groups. I ⋮
A quadric model for Klingenberg chain spaces ⋮
Miquelian theorems in Minkowski-planes. III ⋮
Semi-biplanes on the cylinder ⋮
A new proof of the representation theorem for Miquelian Möbius planes ⋮
Klingenberg chain spaces ⋮
Affine circle geometry over quaternion skew fields ⋮
Generalized affine chain geometries ⋮
Three-dimensional connected groups of automorphisms of toroidal circle planes ⋮
A note on Minkowski planes admitting groups of automorphisms of some large types with respect to homotheties ⋮
Geometrical maps in ring affine geometries ⋮
Divisible designs, Laguerre geometry, and beyond ⋮
Quadratic forms and quadrics of space over local rings ⋮
Harmonic maps and von Staudt's theorem over rings ⋮
Linear algebra in a local ringed site ⋮
Remarks on the proof of the representation theorem for Miquelian Möbius planes by A. Lenard ⋮
A universal linear algebraic model for conformal geometries ⋮
The connected components of the projective line over a ring ⋮
Degenerate forms of Miquel axiom and dilatations in Benz planes ⋮
On some operations on finite affine planes applied to the theory of regular configurations ⋮
Enumeration of quadrics of projective spaces over local rings ⋮
A logical look at characterizations of geometric transformations under mild hypotheses ⋮
Inversive planes, Minkowski planes and regular sets of points ⋮
Some chain geometries determined by transformation groups ⋮
Binary relations as single primitive notions for hyperbolic three-space and the inversive plane. ⋮
Cross-ratios over local alternative rings ⋮
Collineations of Benz planes over finite prime fields ⋮
Lie sphere geometry in Hilbert spaces ⋮
Projective representations. I: Projective lines over rings ⋮
Projective representations. II: Generalized chain geometries ⋮
Inversion auf der Idealebene der Bachmannschen Metrischen Ebene ⋮
Büschelsätze zur Charakterisierung projektiv darstellbarer Zykelebenen ⋮
Minkowski-Ebenen mit Spiegelungen ⋮
Adjacency preserving mappings of invariant subspaces of a null system ⋮
Modelle ebener metrischer Ringgeometrien ⋮
\((B^*_nG_nS_n\))-Geometrien ⋮
Flocks in \(\mathrm{PG}(3,q)\) ⋮
Eine Winkelmetrik zur Begründung euklidisch-metrischer Ebenen ⋮
On the geometry of field extensions ⋮
A remark on the introduction of coordinates in Minkowski planes ⋮
Burau-Geometrien ⋮
A construction and characterization of new sharply 3-transitive permutation sets contained in \(P\varGamma L(2,K)\) ⋮
A characterization of the known finite Minkowski planes in terms of Klein-Kroll types with respect to \(\mathcal{G}\)-translations ⋮
Affine semipolar spaces ⋮
Zum Transitivitätsverhalten metrischer Kollinationsgruppen. (On the transitivity behaviour of metric collineation groups) ⋮
A new solution of Apollonius' problem based on stereographic projections of Möbius and Laguerre planes ⋮
Toroidal circle planes that are not Minkowski planes ⋮
Finite Laguerre near-planes of odd order admitting Desarguesian derivations ⋮
Die Sieben-Punkte-Ausartungen des Satzes von Miquel in Möbiusebenen ⋮
Geometrische Charakterisierung endlicher (K,L)-Ebenen ungerader Ordnung ⋮
Zur Darstellung der Automorphismengruppe einer kinematischen Kettengeometrie im Quadrikenmodell ⋮
Zur Krümmungskennzeichnung der kinematischen Laguerre-Ketten ⋮
Äquiforme Ebenen über kommutativen Ringen und singuläre Prä-Hjelmslev-Gruppen ⋮
Each invertible sharply \(d\)-transitive finite permutation set with \(d\geq 4\) is a group ⋮
Pascal's triangle, normal rational curves, and their invariant subspaces ⋮
Discrete Geometry in Minkowski Spaces ⋮
Some constructions of divisible designs from Laguerre geometries ⋮
PD-sets for the codes related to some classical varieties ⋮
A characterization of classical Minkowski planes over a perfect field of characteristic two ⋮
Einbettung gewisser Kettengeometrien in projektive Räume ⋮
Möbius geometry and kinematics in $H^3$ ⋮
Tubes in PG\((3,q)\) ⋮
Dynamik von Polynomen in Kreisebenen ⋮
Bruck's vision of regular spreads or what is the use of a Baer superspace? ⋮
Models and theorems of the classical circle planes ⋮
Von Staudt's theorem revisited ⋮
Canonical tessellations of decorated hyperbolic surfaces ⋮
Characterizations of Miquelian Laguerre planes ⋮
Fundamentalsätze der metrischen Geometrie. (Fundamental theorems of metric geometry) ⋮
Finite Minkowski planes of type 20 with respect to homotheties ⋮
Laguerre and Minkowski planes produced by dilatations ⋮
Über rationale Darstellungen von Kettengeometrien als projektive Varietäten. (On rational representations of chain geometries as projective varieties) ⋮
A characterization of the generalized quadrangle Q(4,q), q odd ⋮
Semiclassical topological flat Laguerre planes obtained by pasting along a circle ⋮
Freie Möbiusebenen. (Free Moebius planes) ⋮
Die Kategorie der Kettengeometrien. (The category of chain geometries) ⋮
Laguerre and Minkowski planes with neighbor relation ⋮
On the sharply 1-transitive subsets of \(PGL(2,p^ m)\) ⋮
Lineare Geradenkomplexe über Schiefkörpern. (Linear complexes of lines over skew fields) ⋮
Sharply 1-transitive subsets of certain permutation groups ⋮
Zur Klassifikation der Möbius-Räume. (On the classification of Möbius spaces) ⋮
The symmetry axioms in Laguerre planes ⋮
Free cyclic submodules in the context of the projective line ⋮
Semiclassical topological flat Laguerre planes obtained by pasting along two parallel classs ⋮
Chain geometry determined by the affine group ⋮
Eine Orthogonalitätsbeziehung in Hyperbelstrukturen ⋮
Die Automorphismengruppe der Möbiusgeometrie einer Körpererweiterung ⋮
Conformal spaces ⋮
Finite Minkowski planes in which every circle-symmetry is an automorphism ⋮
Kennzeichnung von Möbius-Ebenen durch Spiegelungsrelationen
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