| Title | The synchronisation hierarchy of permutation groups |
| Description | The aim of this project is to investigate the synchronisation hierarchy of primitive permutation groups. This hierarchy is defined by the three properties synchronising, separating, and spreading which are known to be increasingly restrictive. The challenge is to determine exactly which primitive groups have these properties. For particular primitive groups, the problem can often be rephrased in terms of graphs and their cliques and colorings or finite geometries and their substructures. |
| Payment type | Fortnightly Stipend |
| Value | $30000/per anuum |
| Eligibility | To be eligible, applicants should have completed the equivalent of a Masters of Bachelor with Honours (first class) in pure mathematics and meet the University’s admission requirements. Interest in permutation groups and good communication skills are essential. The project manager reserves the right to make an appointment before the closing date if a suitable applicant is identified. |
| Nationality | Australian Citizen, Australian Permanent Resident, International |
| Study area | Mathematics |
| Applications Open/colse | 01/02/2021-28/02/2021 |
| Tenable At | University of Western Australia |
| Website | Click Here |