English

Assigning a classifying space to a fusion system up to F-isomorphism

Algebraic Topology 2019-01-18 v6

Abstract

Complementing and extending the Inventiones work of Benson, Grodal, Henke [Group cohomology and control of p-fusion, Invent. Math. 197 (2014), 491--507] we give criteria for a space to have cohomology (strongly) F-isomorphic in the sense of Quillen to the stable elements. We extend results about groups models to fusion systems over discrete pp-toral groups and profinite groups and provide various applications to the Kan-Thurston Theorem.

Keywords

Cite

@article{arxiv.1104.5331,
  title  = {Assigning a classifying space to a fusion system up to F-isomorphism},
  author = {Nora Seeliger},
  journal= {arXiv preprint arXiv:1104.5331},
  year   = {2019}
}