Discovery Projects - Grant ID: DP160104626

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP160104626

Funding Status
Closed

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Funded Activity Summary

Composition tree algorithms for large matrix groups. This project aims to develop new algorithms for analysing groups. A group is a rather simple mathematical structure – an example is the set of all integers considering only the operations of addition and subtraction. Since the symmetries of an object form a group, groups are ubiquitous throughout mathematics and elsewhere in science. Because it is frequently necessary to determine a group's properties, there is great interest in finding efficient algorithms for analysing groups. A matrix group is a common type of group whose elements are square matrices. This project plans to employ a novel approach to designing algorithms for analysing large matrix groups, a task which is currently impossible using existing algorithms.

Funded Activity Details

Start Date: 01-01-2016

End Date: 31-12-2018

Funding Scheme: Discovery Projects

Funding Amount: $305,500.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Group Theory and Generalisations | Pure Mathematics | Mathematical Software | Algebra and Number Theory

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Algebra and Number Theory | Expanding Knowledge in the Mathematical Sciences | Group Theory and Generalisations | Mathematical Software | Pure Mathematics

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