3 citations · 4 across the 10 of their papers we have counts for
10 papers
On a class of -configurations reflecting abstract properties of a perspective between tetrahedrons
Małgorzata Prażmowska, Krzysztof Prażmowski
In the paper we give a complete classification of schemes of abstract perspectives between two tetrahedrons such that intersecting edges corespond under this perspective to interse…
The Cremona-Richmond Configuration revisited and generalized
M. Prażmowska, K. Prażmowski
We propose a generalization of the classical point-line Cremona-Richmond configuration to a configuration of points and more dimensional subspaces of a projective space, and presen…
The Cox, Clifford, Möbius, Miquel, and other related configurations and their generalizations
M. Prażmowska, K. Prażmowski
The realizability of countable Cox configurations on Miquelian planes is proved. A simple way to determine the automorphisms of the Cox configurations is presented.
Binomial partial Steiner triple systems containing complete graphs
M. Prażmowska, K. Prażmowski
We propose a new approach to studies on partial Steiner triple systems consisting in determining complete graphs contained in them. We establish the structure which complete graphs…
Operation of weaving partial Steiner triple systems
Małgorzata Prażmowska, Krzysztof Prażmowski
We introduce an operation of a kind of product which associates with a partial Steiner triple system another partial Steiner triple system, the starting one being a quotient of the…
Hyperplanes, parallelisms, and related problems in the theory of Veronese Spaces
K. Petelczyc, K. Prażmowski, M. Prażmowska +1
We study parallelisms on Veronese spaces associated with affine spaces, determine hyperplanes in Veronese spaces associated with projective spaces, and analyse the geometry of para…
Affine polar spaces derived from polar spaces and Grassmann structures defined on them
K. Prażmowski, M. Żynel
We prove that an affine polar space in the meaning of Cohen and Shult can be recovered from one of the three adjacency relations on a Grassmann structure over it. The result direct…
Projective symplectic geometry on regular subspaces; Grassmann spaces over symplectic copolar spaces
M. Prażmowska, K. Prażmowski, M. Żynel
We construct Grassmann spaces associated with the incidence geometry of regular and tangential subspaces of a symplectic copolar space, show that the underlying metric projective s…
Affine polar spaces derived from symplectic spaces, their geometry and representations: alternating semiforms
K. Prażmowski, M. Żynel
Deleting a hyperplane from a polar space associated with a symplectic polarity we get a specific, symplectic, affine polar space. Similar geometry, called an \afsempol\ arises as a…
Grassmannians of lines defined in the geometry of a pseudo-polarity
K. Prażmowski, M. Żynel
The regular point-line geometry with respect to a pseudo-polarity is introduced. It is weaker than the underlying metric-projective geometry. The automorphism group of this geometr…