Lie-type methods for totally disconnected groups

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Groups are algebraic objects which convey symmetry, much as numbers convey size. For example, the rotations of a sphere form a group. This rotation group is one of a class known as the Lie groups that is well understood and has important applications. Totally disconnected groups arise as symmetries of network structures having nodes and a `neighbour' relation between nodes. The Australian investigator has discovered powerful methods for analysing totally disconnected groups which have parallels with Lie group techniques. This project will develop these parallels and establish links with international researchers on Lie groups.