Permutation groups and their interplay with symmetry in finite geometry and graph theory

澳大利亚强大的数学社区为未来在技术、科学和商业方面的发现提供了基础。利用群论来描述对称广义四边形、部分四边形和强正则图，以及这些对象的新实例的构建，将增强澳大利亚在群论、代数图论和有限几何方面的领先地位。该项目还将加强澳大利亚、比利时和意大利大学之间的合作，支持年轻研究人员在世界领先的研究小组中发展专业知识，推动澳大利亚数学的未来。

A strong mathematical community in Australia provides the foundations for future discoveries in technology, science and business. The use of group theory to characterise symmetric generalised quadrangles, partial quadrangles, and strongly regular graphs, and the construction of new examples of such objects, will enhance Australia's leading position in Group Theory, Algebraic Graph Theory and Finite Geometry. This project will also strengthen the collaboration between Australian, Belgian and Italian Universities and support young researchers, developing expertise in a world-leading research group, to drive Australia's future in mathematics.