Area of research
Discrete Mathematics and Combinatorics · Electrical and Electronic Engineering
Research interest
repository.uwa.edu.au/en/persons/cheryl-praeger/projects/ Selective international research funding CMI-HIMR Summer School Bristol: Probabilistic Group Theory (2023) Isaac Newton Institute Cambridge: Groups, representations and applications: new perspectives' (six month program), and Kirk Distinguished Visiting Fellowship (2020; resumed 2022) Mittag-Leffler Institute Stockholm: Modern theory of group actions and the special role of finite simple groups (Summer school, 2019) Hausdorff Research Institute for Mathematics Bonn: Logic and algorithms in group theory (one month fellowship, 2018) All Souls College Oxford: Visiting Fellow (2015) Industrial relevance Data Analysis Australia, Director since 1989 Roles and responsibilities National Science and Techology Council (2022-2025) Association
Proper partial linear spaces affording imprimitive rank 3 automorphism groups
Absolutely irreducible quasisimple linear groups containing elements of order a specified Zsigmondy prime
A characterisation of edge-affine 2-arc-transitive covers of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msub><mml:mrow><mml:mi mathvariant="bold">K</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup><mml:mo>,</mml:mo><mml:msup><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:msub></mml:math>
Showcasing straight-line programs with memory via matrix Bruhat decomposition
Subgroups of classical groups that are transitive on subspaces
Total closure for permutation actions of finite nonabelian simple groups
Random generation of direct sums of finite non-degenerate subspaces
Normal edge-transitive Cayley graphs and Frattini-like subgroups
Orbits of Sylow subgroups of finite permutation groups
Delandtsheer–Doyen parameters for block-transitive point-imprimitive 2-designs
On flag‐transitive imprimitive 2‐designs
Diagonal groups and arcs over groups
A Path-Deformation Framework for Determining Weighted Genome Rearrangement Distance.
Involution centralisers in finite unitary groups of odd characteristic
Arithmetic results on orbits of linear groups