2 citations · 2 across the 16 of their papers we have counts for
10 papers · 1 filter
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…
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…
Prime power coverings of groups
Michael Giudici, Luke Morgan, Cheryl E. Praeger
For a finite group with normal subgroup , a subgroup of is an -prime-power-covering subgroup if meets every -conjugacy-class of elements of of prime po…