30 citations · 70 across the 34 of their papers we have counts for
39 papers
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…
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…
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…
Proper partial linear spaces affording imprimitive rank 3 automorphism groups
Anton A. Baykalov, Alice Devillers, Cheryl E. Praeger
A partial linear space is a point--line incidence structure such that each line is incident with at least two points and each pair of points is incident with at most one line. It i…
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 …