English

The subgroup homology decomposition for fusion systems is sharp

Algebraic Topology 2015-09-04 v2

Abstract

We extend Dwyer's sharp subgroup homology decomposition of the classifying space of a finite group to arbitrary saturated fusion systems and arbitrary Mackey functors.

Keywords

Cite

@article{arxiv.1412.0378,
  title  = {The subgroup homology decomposition for fusion systems is sharp},
  author = {Antonio Díaz and Sejong Park},
  journal= {arXiv preprint arXiv:1412.0378},
  year   = {2015}
}

Comments

The proof of the main result (Theorem 1.3) is not complete as there is a gap in the proof of Lemma 2.10(b)