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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…
math.GR2025
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…
math.GR2025
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…