Blocks of profinite groups with cyclic defect group

Abstract

We demonstrate that the blocks of a profinite group whose defect groups are cyclic have a Brauer tree algebra structure analogous to the case of finite groups. We show further that the Brauer tree of a block with defect group ${\mathbb{Z}}_p$ is of star type.

arXiv comment13 pages. To appear in the Bulletin of the London Mathematical Society