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

有限几何和图论中的置换群及其与对称性的相互作用

• 批准号: DP0984540
• 负责人: Prof Michael Giudici
• 金额: $ 35.39万
• 依托单位: The University of Western Australia
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2009
• 资助国家: 澳大利亚
• 起止时间: 2009-01-01 至 2015-07-01
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP0984540
• 关键词: Permutation; groups; their; interplay; symmetry

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.

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奠定了基础。使用群论的非对称广义四边形，部分四边形，并强烈定期图，以及建设新的例子，这样的对象，将提高澳大利亚的领导地位，在群论，代数图论和有限几何。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，并支持年轻的研究人员，在世界领先的研究小组中发展专业知识，以推动澳大利亚数学的未来。