7 citations · 19 across the 30 of their papers we have counts for
5 papers · 1 filter
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…
Finite permutation groups with quasi-semiregular elements
Michael Giudici, Luke Morgan, Cheryl E. Praeger
A quasi-semiregular element in a permutation group is an element that has a unique fixed point and acts semiregularly on the remaining points. Such elements were first studied in t…
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…