Discovery Projects - Grant ID: DP0449429

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP0449429

Funding Status
Closed

Does something not look right? The information on this page has been harvested from data sources that may not be up to date. We continue to work with information providers to improve coverage and quality. To report an issue, use the .

Funded Activity Summary

Factorisation of Finite Groups and Graphs. The combinatorial structure of a graph is strongly influenced by its symmetry, and the symmetry is described precisely by its group of automorphisms. Interplay between actions of the automorphism group on vertices, edges, and other configurations, reveals important graph structure, especially the existence of graph factorisations. In turn, a group factorisation arises whenever a group has two independent transitive actions, and these arise in particular while determining graph automorphism groups, and graph factorisations. We will classify families of group factorisations, especially for simple groups, and apply this to establish a theory of symmetrical graph factorisations, and to study Cayley graphs and 2-closures of permutation groups.

Funded Activity Details

Start Date: 04-02-2004

End Date: 31-12-2007

Funding Scheme: Discovery Projects

Funding Amount: $300,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Mathematical Logic, Set Theory, Lattices And Combinatorics | Pure Mathematics | Group Theory And Generalisations (Incl. Topological Groups And Lie

ANZSRC Socio-Economic Objective (SEO)

Mathematical sciences |

Other Keywords

Group Theory And Generalisations (Incl. Topological Groups And Lie | Mathematical Logic, Set Theory, Lattices And Combinatorics | Mathematical sciences | Pure Mathematics

Related Links