Effective classification of closed vertex-transitive groups acting on trees

作用于树的封闭顶点传递群的有效分类

• 批准号: DE210100180
• 负责人: Dr Stephan Tornier
• 金额: $ 28.16万
• 依托单位: The University of Newcastle
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Early Career Researcher Award
• 财政年份: 2021
• 资助国家: 澳大利亚
• 起止时间: 2021-04-04 至 2026-06-26
• 项目状态: 未结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DE210100180
• 关键词: Effective; classification; closed; vertex; transitive

Symmetry is a fundamental organising principle in mathematics and human endeavour. This project aims to advance our knowledge of zero-dimensional symmetry, a frontier in symmetry research. In the longer term, advancements in fundamental knowledge in this area have the potential to inform the usage and development of digital structures in more practical contexts, such as data networks and information processing. The project is expected to develop new tools of both theoretical and computational nature that will accelerate ongoing research across the field and enable new approaches. This will cement Australia's position at the forefront of research in symmetry and its use in the digital age.

对称性是数学和人类努力的基本组织原则。该项目旨在增进我们对零维对称性的了解，零维对称性是对称性研究的前沿。从长远来看，该领域基础知识的进步有可能为数据网络和信息处理等更实际的环境中数字结构的使用和发展提供信息。该项目预计将开发理论和计算性质的新工具，这将加速整个领域正在进行的研究并实现新方法。这将巩固澳大利亚在对称性研究及其在数字时代的应用方面的前沿地位。