40 citations · 259 across the 61 of their papers we have counts for
69 papers
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…
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…
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…
Finite simple groups have many classes of -elements
Michael Giudici, Luke Morgan, Cheryl E. Praeger
For an element of a finite group , the -class of is the set . We prove that the order of a finite nonabelian si…
Vertex-primitive s-arc-transitive digraphs of symplectic groups
Lei Chen, Michael Giudici, Cheryl E. Praeger
A digraph is -arc-transitive if its automorphism group is transitive on directed paths with edges, that is, on -arcs. Although infinite families of finite -arc transit…
New 2-closed groups that are not automorphism groups of digraphs
John Bamberg, Michael Giudici, Jacob Paul Smith
In this paper we extend the construction of Giudici, Morgan and Zhou [arXiv:2110.07896] to give the first known examples of nonregular, -closed permutation groups of rank greate…