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Rothschild Lecture: Commuting Sets in Groups and Algebras

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GRA2 - Groups, representations and applications: new perspectives

We first consider the set of commuting pairs in a group or an algebra and related properties.  We want to measure how big this set is in various senses.  We will also discuss some recent work on variations of this theme.  We also will discuss some properties of groups that can be determined by considering pairs of elements (e.g. whether a group is abelian) and some probabilistic aspects of these problems.

This talk is part of the Isaac Newton Institute Seminar Series series.

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