Totally disconnected groups in algebra and geometry

数学研究创造和发展了认识世界的新概念。群论是建立在我们与生俱来的对称感基础上的数学分支。它是在200年前发明的，现已发展成为一种语言，用于分析和分类从墙纸图案到晶体、物理学的基本粒子和魔方等各种事物。首席研究人员在网络对称群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洞察力，使澳大利亚成为这些对称群的专业中心，这些对称群应用于包括信息和通信技术在内的许多领域。

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.