2 papers
math.CO2024
Higher-dimensional grid-imprimitive block-transitive designs
Seyed Hassan Alavi, Carmen Amarra, Ashraf Daneshkhah +2
It was shown in 1989 by Delandtsheer and Doyen that, for a -design with points and block size , a block-transitive group of automorphisms can be point-imprimitive (that i…
math.CO2024
Chain-imprimitive, flag-transitive 2-designs
Carmen Amarra, Alice Devillers, Cheryl E. Praeger
We consider -designs which admit a group of automorphisms that is flag-transitive and leaves invariant a chain of nontrivial point-partitions. We build on our recent work on …