Reading endotrivial modules on the Brauer tree
If you have a question about this talk, please contact David Craven.
If G is a finite group and k a field of prime characteristic p, a kG-module is termed ‘endo-trivial’ if its k-endomorphism ring decomposes as a direct sum of a copy of the trivial module and projective summands. In this talk we explain how to determine whether or not a simple kG-module is endo-trivial by looking at its position on the Brauer tree. We will explain why this is an important special case of the classification of simple endo-trivial modules (for quasi-simple groups). This is joint work with G. Malle and E. Schulte.
This talk is part of the Algebra Seminar series.
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