Luke Morgan

collaborators

3 papers

math.GR2025

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…

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

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 ${x^{I ¨} ∣ I ¨ \in Aut (T)}$ . We prove that the order $∣ T ∣$ of a finite nonabelian…

Finite permutation groups with quasi-semiregular elements

Prime power coverings of groups

Finite simple groups have many classes of p-elements

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