2 papers
math.CO2026
Recursive constructions for block-transitive, poset-imprimitive two-designs
Carmen Amarra, Alice Devillers, Cheryl E. Praeger
We give two general constructions for -designs, that can be used recursively, and interchangeably, to produce new infinite families of -designs admitting block-transitive gro…
math.GR2025
Block-transitive designs with a poset of imprimitive partitions
Carmen Amarra, Alice Devillers, Cheryl E. Praeger
We study block designs which admit an automorphism group that is transitive on blocks and points, and leaves invariant every partition in a given finite poset of partitions of the…