1 citations · 2 across the 13 of their papers we have counts for
15 papers
The full automorphism groups of the five symmetric -designs
Mark Pankov, Krzysztof Petelczyc, Mariusz Żynel
It is clear that the full automorphism group of the -design of points and hyperplane complements of is . Using methods of point-line geomet…
Symmetric -designs in terms of the geometry of binary simplex codes of dimension
Mark Pankov, Krzysztof Petelczyc, Mariusz Żynel
Let and for a certain . Consider the point-line geometry of -element subsets of an -element set. Maximal singular subspaces of this geometry co…
Point-line geometries related to binary equidistant codes
Mark Pankov, Krzysztof Petelczyc, Mariusz Zynel
We investigate point-line geometries whose singular subspaces correspond to binary equidistant codes. The main result is a description of automorphisms of these geometries. In some…
Automorphisms of graphs corresponding to conjugacy classes of finite-rank self-adjoint operators
Mark Pankov, Krzysztof Petelczyc, Mariusz Zynel
We consider the graph whose vertex set is a conjugacy class consisting of finite-rank self-adjoint operators on a complex Hilbert space . The dimension of is…
Automorphisms and some geodesic properties of ortho-Grassmann graphs
Mark Pankov, Krzysztof Petelczyc, Mariusz Zynel
Let be a complex Hilbert space. Consider the ortho-Grassmann graph whose vertices are -dimensional subspaces of (projections of rank ) and two subs…
Generalized Grassmann graphs associated to conjugacy classes of finite-rank self-adjoint operators
Mark Pankov, Krzysztof Petelczyc, Mariusz Zynel
Two distinct projections of finite rank are adjacent if their difference is an operator of rank two or, equivalently, the intersection of their images is -dimensional. W…
The complement of a subspace in a classical polar space
Krzysztof Petelczyc, Mariusz Żynel
In a polar space, embeddable into a projective space, we fix a subspace, that is contained in some hyperplane. The complement of that subspace resembles a slit space or a semiaffin…
Geometry on the lines of spine spaces
K. Petelczyc, M. Żynel
Spine spaces can be considered as fragments of a projective Grassmann space. We prove that the structure of lines together with binary coplanarity relation, as well as with binary…
Binomial partial Steiner triple systems with complete graphs: structural problems
Krzysztof Petelczyc, Małgorzata Prażmowska, Krzysztof Prażmowski
In the paper we study the structure of hyperplanes of so called binomial partial Steiner triple systems (BSTS's, in short) i.e. of configurations with points and $\b…
Affinization of Segre products of partial linear spaces
K. Petelczyc, M. Żynel
Hyperplanes and hyperplane complements in the Segre product of partial linear spaces are investigated . The parallelism of such a complement is characterized in terms of the point-…
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…
On some generalization of the Möbius configuration
Krzysztof Petelczyc
The Möbius configuration is generalized in a purely combinatorial approach. We consider configurations ${\goth M}_{(n,φ)}$ depending on a permutation in the sy…
The complement of a point subset in a projective space and a Grassmann space
Mariusz Żynel, Krzysztof Petelczyc
In a projective space we fix some set of points, a horizon, and investigate the complement of that horizon. We prove, under some assumptions on the size of lines, that the ambient…
Multiplied configurations, series induced by quasi difference sets
Krzysztof Petelczyc, Krzysztof Prażmowski
Using the technique of quasi difference sets we characterize geometry and automorphisms of configurations which can be presented as a join of some others, in particular - which can…
Multiplied configurations characterized by their closed substructures
Krzysztof Petelczyc, Krzysztof Prażmowski
We propose some new method of constructing configurations, which consists in consecutive inscribing copies of one underlying configuration. A uniform characterization of the obtain…