Permutation groups and their interrelationship with the symmetry of graphs, codes and geometric configurations

排列群及其与图、码和几何构型对称性的相互关系

• 批准号: DP130100106
• 负责人: A/Prof John Bamberg
• 金额: $ 23.85万
• 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: 2013
• 资助国家: 澳大利亚
• 起止时间: 2013-01-01 至 2017-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP130100106
• 关键词: Permutation; groups; their; interrelationship; symmetry

Symmetry is important in simplifying complex structures and in efficiently encoding information. This project will develop new fundamental theory for the mathematics behind symmetry. It will apply this to construct and classify families of networks lying on surfaces and structures that arise from set theory and projective geometry.

对称性在简化复杂结构和有效编码信息方面很重要。这个项目将为对称性背后的数学发展新的基础理论。它将应用这一点来构造和分类位于集合论和射影几何中产生的表面和结构上的网络族。