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Classifying spaces of finite groups of tame representation type

Representation Theory 2025-12-19 v2 Algebraic Topology Group Theory

Abstract

Thanks to the work of Karin Erdmann, we know a great deal about the representation theory of blocks of finite groups with tame representation type. Our purpose here is to examine the pp-completed classifying spaces of these blocks and their loop spaces. We pay special attention to the AA_\infty algebra structures, and singularity and cosingularity categories.

Keywords

Cite

@article{arxiv.2208.07913,
  title  = {Classifying spaces of finite groups of tame representation type},
  author = {David J. Benson},
  journal= {arXiv preprint arXiv:2208.07913},
  year   = {2025}
}

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143 pages