Blocks of profinite groups with cyclic defect group

Ricardo J. Franquiz Flores; John W. MacQuarrie

Blocks of profinite groups with cyclic defect group

Group Theory 2022-02-23 v2 Representation Theory

Authors: Ricardo J. Franquiz Flores , John W. MacQuarrie

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.

Keywords

brauer algebras

Cite

@article{arxiv.2107.02873,
  title  = {Blocks of profinite groups with cyclic defect group},
  author = {Ricardo J. Franquiz Flores and John W. MacQuarrie},
  journal= {arXiv preprint arXiv:2107.02873},
  year   = {2022}
}

Comments

13 pages. To appear in the Bulletin of the London Mathematical Society

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