3 papers
math.CO2024
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_…
math.CO2024
Designs in finite classical polar spaces
Michael Kiermaier, Kai-Uwe Schmidt, Alfred Wassermann
Combinatorial designs have been studied for nearly 200 years. Fifty years ago, Cameron, Delsarte, and Ray-Chaudhury started investigating their q-analogs, also known as subspace de…
math.CO2024
A common generalization of hypercube partitions and ovoids in polar spaces
Jozefien D'haeseleer, Ferdinand Ihringer, Kai-Uwe Schmidt
We investigate what we call generalized ovoids, that is families of totally isotropic subspaces of finite classical polar spaces such that each maximal totally isotropic subspace c…