Luke Morgan

activity

20142025

most citedElusive groups of automorphisms of digraphs of small valency

13 citations · 42 across the 22 of their papers we have counts for

collaborators

Showing 2024Show all

2 papers · 1 filter

math.GR2024

Prime power coverings of groups

Michael Giudici, Luke Morgan, Cheryl E. Praeger

For a finite group $A$ with normal subgroup $G$ , a subgroup $U$ of $G$ is an $A$ -prime-power-covering subgroup if $U$ meets every $A$ -conjugacy-class of elements of $G$ of prime po…

math.GR2024★ 1 cited

Finite simple groups have many classes of $p$ -elements

Michael Giudici, Luke Morgan, Cheryl E. Praeger

For an element $x$ of a finite group $T$ , the $Aut (T)$ -class of $x$ is the set ${x^{σ} ∣ σ \in Aut (T)}$ . We prove that the order $∣ T ∣$ of a finite nonabelian si…

Prime power coverings of groups

Finite simple groups have many classes of p-elements

Finite simple groups have many classes of $p$ -elements