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arXiv · 2107.02873

Blocks of profinite groups with cyclic defect group

Ricardo J. Franquiz Flores·John W. MacQuarrie
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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.

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Ricardo J. Franquiz Flores, John W. MacQuarrie. 2021-07-06. Blocks of profinite groups with cyclic defect group. https://arxiv.org/abs/2107.02873

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