Cheryl E. Praeger

activity

20092026

most citedPartial linear spaces with a rank 3 affine primitive group of automorphisms

7 citations · 19 across the 30 of their papers we have counts for

collaborators

Showing 2024Show all

11 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…

math.RT2024

Absolutely irreducible quasisimple linear groups containing elements of order a specified Zsigmondy prime

S. P. Glasby, Alice C. Niemeyer, Cheryl E. Praeger +1

This paper is concerned with absolutely irreducible quasisimple subgroups $G$ of a finite general linear group $G L_{d} (F_{q})$ for which some element $g \in G$ of prime order $…

math.CO2024

Vertex-primitive s-arc-transitive digraphs of symplectic groups

Lei Chen, Michael Giudici, Cheryl E. Praeger

A digraph is $s$ -arc-transitive if its automorphism group is transitive on directed paths with $s$ edges, that is, on $s$ -arcs. Although infinite families of finite $s$ -arc transit…

math.CO2024★ 2 cited

Basic Tetravalent Oriented Graphs of Independent-Cycle Type

Nemanja Poznanovic, Cheryl E. Praeger

The family $OG (4)$ consisting of graph-group pairs $(Γ, G)$ , where $Γ$ is a finite, connected, 4-valent graph admitting a $G$ -vertex-, and $G$ -edge-transitive, but not $G…

math.CO2024

Group actions on codes in graphs

Daniel R. Hawtin, Cheryl E. Praeger

This is a chapter in a forthcoming book on completely regular codes in distance regular graphs. The chapter provides an overview, and some original results, on codes in distance re…

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…

math.CO2024

Higher-dimensional grid-imprimitive block-transitive designs

Seyed Hassan Alavi, Carmen Amarra, Ashraf Daneshkhah +2

It was shown in 1989 by Delandtsheer and Doyen that, for a $2$ -design with $v$ points and block size $k$ , a block-transitive group of automorphisms can be point-imprimitive (that i…

math.CO2024

Chain-imprimitive, flag-transitive 2-designs

Carmen Amarra, Alice Devillers, Cheryl E. Praeger

We consider $2$ -designs which admit a group of automorphisms that is flag-transitive and leaves invariant a chain of nontrivial point-partitions. We build on our recent work on $2$ …

math.CO2024

Basic Tetravalent Oriented Graphs with Cyclic Normal Quotients

Nemanja Poznanovic, Cheryl E. Praeger

Let $OG (4)$ denote the family of all graph-group pairs $(Γ, G)$ where $Γ$ is finite, 4-valent, connected, and $G$ -oriented ( $G$ -half-arc-transitive). A subfamily of $\mat…

Prime power coverings of groups

Finite simple groups have many classes of p-elements

Absolutely irreducible quasisimple linear groups containing elements of order a specified Zsigmondy prime

Vertex-primitive s-arc-transitive digraphs of symplectic groups

Basic Tetravalent Oriented Graphs of Independent-Cycle Type

Group actions on codes in graphs

Maps, simple groups, and arc-transitive graphs

Constructive Recognition of Special Linear Groups

Higher-dimensional grid-imprimitive block-transitive designs

Chain-imprimitive, flag-transitive 2-designs

Basic Tetravalent Oriented Graphs with Cyclic Normal Quotients

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