Discovery Projects - Grant ID: DP0450695

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP0450695

Funding Status
Closed

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Funded Activity Summary

Applications of Group Theory to Finite Geometry. Group theory and geometry have influenced one another for over a century. The most important structures in geometry are the symmetric ones and the most important groups act on geometries. Recent developments in finite geometry, although informed by symmetry, have used a minimum of group theory. The project aims to redress this, by applying results from a broad range of finite group theory to the presently hot topics in finite geometry. Our aim is to achieve a paradigm shift, by finding substantively different structures than those presently known. Should it succeed, much activity in geometry would follow, seeking geometric interpretation of these group theoretic results. Our focus is necessitated by the lack of a result characterising the underlying groups of symmetric generalised quadrangles.

Funded Activity Details

Start Date: 01-01-2004

End Date: 31-12-2006

Funding Scheme: Discovery Projects

Funding Amount: $202,486.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

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

ANZSRC Socio-Economic Objective (SEO)

Mathematical sciences |

Other Keywords

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

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