10 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…
The probability that two elements with large -eigenspaces generate a classical group
S. P. Glasby, Alice C. Niemeyer, Cheryl E. Praeger
With high probability, among independent randomly selected elements from a finite -dimensional classical group, some pair of elements power to a -element generati…
Quasiprimitive and bi-quasiprimitive highly-arc-transitive digraphs and finite simple groups
Lei Chen, Cheryl Praeger
We extend the notion of an -normal quotient digraph of an -vertex-transitive digraph to that of an -subnormal quotient digraph. Using these concepts, together with biparti…
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…
Enhanced power graphs of finite groups with cograph structure
Daniela Bubboloni, Francesco Fumagalli, Cheryl E. Praeger
The enhanced power graph, , of a group has vertex set and two elements are adjacent if they generate a cyclic subgroup. In the case of finite groups, we ide…
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…