## Homology, Homotopy and Applications

### Homology decompositions and groups inducing fusion systems

#### Abstract

We relate the construction of groups which realize saturated fusion systems and signaliser functors with homology decompositions of $p$-local finite groups. We prove that the cohomology ring of Robinson’s construction is in some precise sense very close to the cohomology ring of the fusion system it realizes.

#### Article information

Source
Homology Homotopy Appl., Volume 14, Number 2 (2012), 167-187.

Dates
First available in Project Euclid: 12 December 2012

https://projecteuclid.org/euclid.hha/1355321486

Mathematical Reviews number (MathSciNet)
MR3007091

Zentralblatt MATH identifier
1267.55006

Subjects
Primary: 55R35: Classifying spaces of groups and $H$-spaces 20J99

#### Citation

Libman, Assaf; Seeliger, Nora. Homology decompositions and groups inducing fusion systems. Homology Homotopy Appl. 14 (2012), no. 2, 167--187. https://projecteuclid.org/euclid.hha/1355321486