Totally disconnected groups in algebra and geometry

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200年前发明的，已经发展成为一种分析和分类事物的语言，从墙纸图案到晶体，从物理学的基本粒子到魔方。首席研究人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，这些对称群在许多领域都有应用，包括信息和通信技术。

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.