30 citations · 70 across the 34 of their papers we have counts for
24 papers · 1 filter
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…
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…
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 …
Transitive path decompositions of Cartesian products of complete graphs
Ajani De Vas Gunasekara, Alice Devillers
An -decomposition of a graph is a partition of its edge set into subgraphs isomorphic to . A transitive decomposition is a special kind of -decomposition that is highl…
Block-transitive 2-designs with a chain of imprimitive partitions
Carmen Amarra, Alice Devillers, Cheryl E. Praeger
More than years ago, Delandtsheer and Doyen showed that the automorphism group of a block-transitive -design, with blocks of size , could leave invariant a nontrivial po…
Analysing flag-transitive point-imprimitive 2-designs
Alice Devillers, Cheryl E. Praeger
In this paper we develop several general methods for analysing flag-transitive point-imprimitive -designs, which give restrictions on both the automorphisms and parameters of su…