Totally disconnected groups in algebra and geometry

代数和几何中完全不相连的群

• 批准号: DP0984342
• 负责人: Prof George Willis
• 金额: $ 30.25万
• 依托单位: The University of Newcastle
• 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: 2009-04-15 至 2015-01-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP0984342
• 关键词: Totally; disconnected; groups; algebra; geometry

Mathematics research creates and develops new concepts for understanding the world. Group theory is a branch of mathematics based on our innate sense of symmetry. It was invented 200 hundred years ago and has grown into a language for analysing and classifying things ranging from wallpaper patterns to crystals, the fundamental particles of physics and Rubik's cube. The chief investigators have made significant breakthroughs in the study of symmetry groups of networks, giving Australia an international lead in this research area. The project will develop the insights gained to make Australia a centre of expertise on these symmetry groups, which have applications to many areas including information and communication technology.

数学研究创造和发展了理解世界的新概念。群论是数学的一个分支，它建立在我们天生的对称性基础上。它是在200年前发明的，已经发展成为一种分析和分类的语言，从墙纸图案到晶体，物理学的基本粒子和魔方。首席研究员在网络对称群的研究方面取得了重大突破，使澳大利亚在这一研究领域处于国际领先地位。该项目将发展所获得的见解，使澳大利亚成为这些对称群的专业知识中心，这些对称群可应用于包括信息和通信技术在内的许多领域。