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 2023Show all

4 papers · 1 filter

math.GR2023

Bipartite $q$ -Kneser graphs and two-generated irreducible linear groups

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

Let $V := (F_{q})^{d}$ be a $d$ -dimensional vector space over the field $F_{q}$ of order $q$ . Fix positive integers $e_{1}, e_{2}$ satisfying $e_{1} + e_{2} = d$ . Motivated by analysi…

math.CO2023

Using mixed dihedral groups to construct normal Cayley graphs, and a new bipartite $2$ -arc-transitive graph which is not a Cayley graph

Daniel R. Hawtin, Cheryl E. Praeger, Jin-Xin Zhou

A \emph{mixed dihedral group} is a group $H$ with two disjoint subgroups $X$ and $Y$ , each elementary abelian of order $2^{n}$ , such that $H$ is generated by $X \cup Y$ , and $H/H'\con…

math.CO2023

Block-transitive 2-designs with a chain of imprimitive partitions

Carmen Amarra, Alice Devillers, Cheryl E. Praeger

More than $30$ years ago, Delandtsheer and Doyen showed that the automorphism group of a block-transitive $2$ -design, with blocks of size $k$ , could leave invariant a nontrivial po…

math.CO2023

A family of $2$ -groups and an associated family of semisymmetric, locally $2$ -arc-transitive graphs

Daniel R. Hawtin, Jin-Xin Zhou, Cheryl E. Praeger

A mixed dihedral group is a group $H$ with two disjoint subgroups $X$ and $Y$ , each elementary abelian of order $2^{n}$ , such that $H$ is generated by $X \cup Y$ , and $H/H'\cong X\tim…

Bipartite q-Kneser graphs and two-generated irreducible linear groups

Using mixed dihedral groups to construct normal Cayley graphs, and a new bipartite 2-arc-transitive graph which is not a Cayley graph

Block-transitive 2-designs with a chain of imprimitive partitions

A family of 2-groups and an associated family of semisymmetric, locally 2-arc-transitive graphs

Bipartite $q$ -Kneser graphs and two-generated irreducible linear groups

Using mixed dihedral groups to construct normal Cayley graphs, and a new bipartite $2$ -arc-transitive graph which is not a Cayley graph

A family of $2$ -groups and an associated family of semisymmetric, locally $2$ -arc-transitive graphs