The orthogonality in affine parallel structure
The Polytope of m-Subspaces of a Finite Affine Space
The m-subspace polytope is defined as the convex hull of the characteristic vectors of all m-dimensional subspaces of a finite affine space. The particular case of the hyperplane polytope has been investigated by Maurras (1993) and Anglada and Maurras (2003), who gave a complete characterization of the facets. The general m-subspace polytope that we consider shows a much more involved structure, notably as regards facets. Nevertheless, several families of facets are established here. Then the...
The proof of the isomorphism of the -dimensional projective spaces defined axiomatically
The paper gives a proof (without of using of “great” Desargues’ axiom) that any two axiomatically defined n - dimensional projective spaces are isomorphic.
The second extension of the Thas-Walker construction.
The Skew-Hyperbolic Motion Group of the Quaternion Plane.
The Translation Planes of Order 16 that Admit Nonsolvable Collineation Groups.
The universal embedding of the near polygon .
The valuations of the near octagon .
The valuations of the near polygon G.
The Veldkamp space of two-qubits.
Theory of equidistance and betweenness relations in regular metric spaces
Tits Geometries and Parabolic Systems in Finitely Generated Groups I.
To concept “middle" of affine planes.
Topological and smooth unitals.
Transfinite methods in geometry.
Translation complements of C-planes: (IV).
Translation planes of dimension two and characteristic two.
Translation planes of even order in which the dimension has only one odd factor.
Translation planes of odd order and odd dimension.
Translation spreads of the split Cayley hexagon.