Computing with large groups: probability distributions and fast randomised algorithms.

该项目产生的快速算法将影响大规模搜索中对称性的实际管理，这些搜索具有重要的工业应用。因此，该项目解决了突破科学和智能信息使用的优先目标。该项目将提升澳大利亚在计算代数领域的领先地位。我们算法的实现将被整合到悉尼大学的计算机代数系统MAGMA中，分布在世界各地，并在研究和教学中广泛使用。该项目将吸引国际和澳大利亚的研究生和博士后研究人员，并通过加强已经很强大的国际合作来加强澳大利亚的研究活动。

Fast algorithms produced by the project will impact on the practical management of symmetry in large scale searches, which have important industrial applications. Hence the project addresses the Priority Goals Breakthrough Science and Smart Information Use. The project will enhance Australia's leading position in Computational Algebra. Implementations of our algorithms will be incorporated in the Computer Algebra system Magma, based at the University of Sydney, distributed world-wide, and used intensively in research and teaching. The project will attract international and Australian graduate students and postdoctoral researchers, and strengthen research activities in Australia by enhancing already strong international collaborations.