44 citations · 216 across the 16 of their papers we have counts for
14 papers · 1 filter
Blocking sets in chain geometries
Andrea Blunck, Hans Havlicek, Corrado Zanella
In this paper we give some basic results on blocking sets on minimum size for a finite chain geometry.
Divisible designs from twisted dual numbers
Andrea Blunck, Hans Havlicek, Corrado Zanella
The generalized chain geometry over the local ring of twisted dual numbers, where is a finite field, is interpreted as a divisible design obtained from an imprimitive…
Lifting of divisible designs
Andrea Blunck, Hans Havlicek, Corrado Zanella
The aim of this paper is to present a construction of -divisible designs for , because such divisible designs seem to be missing in the literature. To this end, tools such…
On distant-isomorphisms of projective lines
Andrea Blunck, Hans Havlicek
We determine all distant-isomorphisms between projective lines over semilocal rings. In particular, for those semisimple rings that do not have a simple component which is isomorph…
Radical parallelism on projective lines and non-linear models of affine spaces
Andrea Blunck, Hans Havlicek
We introduce and investigate an equivalence relation called "radical parallelism" on the projective line over a ring. It is closely related with the Jacobson radical of the underly…
On bijections that preserve complementarity of subspaces
Andrea Blunck, Hans Havlicek
The set of all -dimensional subspaces of a -dimensional vector space is endowed with two relations, complementarity and adjacency. We consider bijections from on…