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arXiv · 1103.5856

Homology decompositions and groups inducing fusion systems

Assaf Libman·Nora Seeliger
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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.

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Assaf Libman, Nora Seeliger. 2011-03-30. Homology decompositions and groups inducing fusion systems. https://arxiv.org/abs/1103.5856

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