Discovery Projects - Grant ID: DP0208137

Funding Activity

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Funded Activity Summary

Totally disconnected groups and their algebras. Groups are algebraic objects which convey symmetry much as numbers convey size. For example, the symmetries of a crystal form a crystallographic group and the classification of crystallographic groups describes all possible crystal structures. Totally disconnected groups arise as symmetries of network structures having nodes and a `neighbour' relation, as models of crystals do, but which are not rigid like crystals. Powerful techniques for analysing totally disconnected groups have recently been discovered and this project aims to develop those techniques. The resulting significant advances in the understanding of symmetry will extend the range of applications of group theory.

Funded Activity Details

Start Date: 2002

End Date: 06-2005

Funding Scheme: Discovery Projects

Funding Amount: $185,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Pure Mathematics | Group Theory And Generalisations (Incl. Topological Groups And Lie

ANZSRC Socio-Economic Objective (SEO)

Mathematical sciences |