84 citations · 962 across the 88 of their papers we have counts for
10 papers · 1 filter
Doily as Subgeometry of a Set of Nonunimodular Free Cyclic Submodules
Metod Saniga, Edyta Bartnicka
It is shown that there exists a particular associative ring with unity of order 16 such that the relations between nonunimodular free cyclic submodules of its two-dimensional free…
Veldkamp Spaces of Low-Dimensional Ternary Segre Varieties
Metod Saniga, Jérôme Boulmier, Maxime Pinard +1
Making use of the `Veldkamp blow-up' recipe, introduced by Saniga and others (Ann. Inst. H. Poincar\' e D2 (2015) 309) for binary Segre varieties, we study geometric hyperplanes an…
Veldkamp Spaces: From (Dynkin) Diagrams to (Pauli) Groups
Metod Saniga, Frederic Holweck, Petr Pracna
Regarding a Dynkin diagram as a specific point-line incidence structure (where each line has just two points), one can associate with it a Veldkamp space. Focusing on extended Dynk…
Combinatorial Intricacies of Labeled Fano Planes
Metod Saniga
Given a seven-element set , there are 30 ways to define a Fano plane on it. Let us call a line of such Fano plane, that is to say an unordered triple from $X…
The Complement of Binary Klein Quadric as a Combinatorial Grassmannian
Metod Saniga
Given a hyperbolic quadric of PG(5,2), there are 28 points off this quadric and 56 lines skew to it. It is shown that the -configuration formed by these points and li…
Cayley-Dickson Algebras and Finite Geometry
Metod Saniga, Frederic Holweck, Petr Pracna
Given a -dimensional Cayley-Dickson algebra, where , we first observe that the multiplication table of its imaginary units , , is e…