Trivial source characters in blocks with cyclic defect groups

Abstract

We describe the ordinary characters of trivial source modules lying in blocks with cyclic defect groups relying on their recent classification in terms of paths on the Brauer tree by G.~Hiss and the second author. In particular, we show how to recover the exceptional constituents of such characters using the source algebra of the block.

25pages. arXiv admin note: text overlap with arXiv:1908.07833