Permutation groups with finite subdegrees and the structure of totally disconnected locally compact groups

有限次次置换群与完全不连通局部紧群的结构

• 批准号: DE130101521
• 负责人: Dr Simon Smith
• 金额: $ 10.4万
• 依托单位: The University of Western Australia
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Early Career Researcher Award
• 财政年份: 2013
• 资助国家: 澳大利亚
• 起止时间: 2013-06-27 至 2015-08-23
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DE130101521
• 关键词: Permutation; groups; finite; subdegrees; structure

Understanding the symmetries of a structure is one way of determining its nature. Our lack of knowledge of these symmetries is holding back research in combinatorics and topological group theory. This project aims to understand the symmetries of an important collection of infinite structures that arise naturally in other areas of mathematics.

理解结构的对称性是确定其性质的一种方法。我们对这些对称性知识的缺乏阻碍了组合学和拓扑群论的研究。该项目旨在了解在其他数学领域自然出现的一系列重要的无限结构的对称性。