Homology, Homotopy and Applications
- Homology Homotopy Appl.
- Volume 14, Number 2 (2012), 167-187.
Homology decompositions and groups inducing fusion systems
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.
Homology Homotopy Appl., Volume 14, Number 2 (2012), 167-187.
First available in Project Euclid: 12 December 2012
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Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 55R35: Classifying spaces of groups and $H$-spaces 20J99
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