University of Birmingham > Talks@bham > Algebra Seminar > Reading endotrivial modules on the Brauer tree

Reading endotrivial modules on the Brauer tree

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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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