Cheryl E. Praeger

activity

20192026

most citedRank three innately transitive permutation groups and related

2

-transitive groups

5 citations · 9 across the 26 of their papers we have counts for

collaborators

Showing 2024 · math.GRShow all

4 papers · 2 filters

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…

math.GR2024

Maps, simple groups, and arc-transitive graphs

Martin W. Liebeck, Cheryl E. Praeger

We determine all factorisations $X = A B$ , where $X$ is a finite almost simple group and $A, B$ are core-free subgroups such that $A \cap B$ is cyclic or dihedral. As a main application…

math.GR2024

Constructive Recognition of Special Linear Groups

Max Horn, Alice Niemeyer, Cheryl Praeger +1

We introduce a new constructive recognition algorithm for finite special linear groups in their natural representation. Given a group $G$ generated by a set of $d \times d$ matrices…

Prime power coverings of groups

Finite simple groups have many classes of p-elements

Maps, simple groups, and arc-transitive graphs

Constructive Recognition of Special Linear Groups

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