Permutation groups: factorisations, structure and applications

排列群：因式分解、结构和应用

• 批准号: DP160102323
• 负责人: Prof Michael Giudici
• 金额: $ 23.41万
• 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: 2016
• 资助国家: 澳大利亚
• 起止时间: 2016-01-01 至 2019-02-02
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP160102323
• 关键词: Permutation; groups; factorisations; structure; applications

Group theory is the mathematical study of symmetry. This project aims to improve our understanding of the structure of groups by studying their factorisations and the structure of certain subgroups and elements. The obtained knowledge will be applied to study embeddings of graphs on surfaces and regular subgroups of important families of groups. The main impact would be in areas of pure mathematics such as group theory and graph theory by strengthening our knowledge of the finite simple groups.

群论是对对称性的数学研究。这个项目旨在通过研究群的分解和某些子群和元素的结构来提高我们对群结构的理解。所获得的知识将被应用于研究嵌入的图形表面和正规子群的重要家庭的群体。主要的影响将是在纯数学领域，如群论和图论，通过加强我们的知识有限简单的群体。