5 papers
Intersection numbers for designs in regular semilattices
Michael Kiermaier, Lukas Klawuhn
We generalize intersection numbers for combinatorial designs to designs in finite meet-semilattices satisfying suitable regularity conditions. While designs in regular semilattices…
Linear dimension of group actions
Alice Devillers, Michael Giudici, Daniel R. Hawtin +2
Two fundamental ways to represent a group are as permutations and as matrices. In this paper, we study linear representations of groups that intertwine with a permutation represent…
The Intersection Distribution: New Results and Perspectives
Sophie Huczynska, Lukas Klawuhn, Maura B. Paterson
Intersection distribution and non-hitting index are concepts introduced recently by Li and Pott as a new way to view the behaviour of a collection of finite field polynomials. With…
On the association scheme of perfect matchings and their designs
John Bamberg, Lukas Klawuhn
We investigate generalisations of 1-factorisations and hyperfactorisations of the complete graph . We show that they are special subsets of the association scheme obtained…
Transitivity in wreath products with symmetric groups
Lukas Klawuhn, Kai-Uwe Schmidt
It is known that the notion of a transitive subgroup of a permutation group extends naturally to the subsets of . We study transitive subsets of the wreath product $G \wr S_…