Homology, Homotopy and Applications
Volume 14 (2012)
Homology decompositions and groups inducing fusion systems
Pages: 167 – 187
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.
fusion system, signalizer functor, homology decomposition
2010 Mathematics Subject Classification