Finite permutation groups and flag-transitive incidence structures

数学是所有科学的基础学科，因此澳大利亚强大的数学研究社区为未来的科学和技术发现提供了基础。通过发展置换群的新理论，为Buekenhout几何的研究创造新的范式，并对flag-传递关联结构的某些族进行分类，我们将加强澳大利亚在置换群理论、代数图论和有限几何方面的领先地位。这将吸引国际和澳大利亚的研究生和访客，并通过加强西澳大学与国际一流大学之间的合作，加强澳大利亚的研究活动。

Mathematics is the enabling discipline for all the sciences and so a strong mathematical research community in Australia provides the foundations for future discoveries in science and technology. By developing new theory for permutation groups, producing a new paradigm for the study of Buekenhout geometries and classifying certain families of flag-transitive incidence structures, we will enhance Australia's leading position in Permutation Group Theory, Algebraic Graph Theory and Finite Geometry. This will attract international and Australian postgraduate students and visitors, and strengthen the research activities of Australia by enhancing the collaboration between UWA and leading international universities.