University of Birmingham > Talks@bham > Algebra Seminar > Detecting local properties in the character table.

Detecting local properties in the character table.

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LMS Groups and their applications triangle meeting

Let G be a finite group and let p be a prime number. In this talk, we discuss local properties of G that can be read off from its character table. More precisely, we characterize globally when the principal block of the normalizer of a Sylow p-subgroup has one simple module for p odd. We also talk about the p=2 case of this problem, which remains open.

This is joint work with G.Navarro and P.H.Tiep.

This talk is part of the Algebra Seminar series.

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