Non-linear Sylow branching coefficients for the symmetric group

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• Giada Volpato
• Wednesday 03 November 2021, 16:30-17:30
• MR12.

If you have a question about this talk, please contact Stacey Law.

In view of the relevance of the McKay Conjecture in the representation theory of finite groups, it is of common interest to investigate how irreducible characters decompose when restricted to Sylow p-subgroups. In this talk I will focus attention on the symmetric groups and my first step will be to briefly mention the combinatorial theory needed for the study of the irreducible characters of Sn. Linear constituents of their restriction to the Sylow p-subgroup Pn have already been studied and so I will present some results concerning constituents of higher degree. In particular I will give the description of the set of irreducible characters that have a constituent of a given fixed degree in their restriction to Pn. This is recent joint work with Eugenio Giannelli.

This talk is part of the Algebra and Representation Theory Seminar series.

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