Website
http://dataportal.arc.gov.au/NCGP/API/grants/DP150100060
Funding Status
Closed
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Funded Activity Summary
Scale-Multiplicative Semigroups and Geometry. Symmetry is treated mathematically through the algebraic concept of a group. Conversely, geometric representations play a crucial role in group theory. Many classes of groups, such as the connected groups that arise in physics, have useful geometric representations, but such a representation is lacking in the case of general disconnected groups. Certain disconnected groups, closely related in algebraic terms to the connected ones, do have a geometric representation called a 'building'. This project aims to address the lack of a representation for general disconnected groups by extending the notion of a building to create combinatorial structures on which these groups act as symmetries.Funded Activity Details
Start Date: 04-2015
End Date: 12-2019
Funding Scheme: Discovery Projects
Funding Amount: $443,900.00
Funder: Australian Research Council
Research Topics
ANZSRC Field of Research (FoR)
Group Theory and Generalisations | Pure Mathematics | Topology
