Vanishing Elements In Groups

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• Julian Brough University of Cambridge
• Friday 24 October 2014, 15:00-16:00
• CMS, MR4.

If you have a question about this talk, please contact Julian Brough.

Given a Group G we let cs(G) denote the set of conjugacy class sizes. Over the years group theory has allowed us to use the set cs(G) to determine properties of the group. In this talk I will discuss a particular subset corresponding to vanishing elements, these are conjugacy classes of the group for which there exists a irreducible character which evaluates to zero on the class. In particular I will focus on some of the tools that have been developed to study these classes and. Then mention some structural properties that vanishing classes can determine.

This talk is part of the Junior Algebra and Number Theory seminar series.

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