A spectral sequence for fusion systems

Details A spectral sequence for fusion systems A spectral sequence for fusion systems

2011-09-09

arxiv.org/abs/1109.1952v1

Mathematics

Algebraic Topology

14 pages

Scientific paper

We build a spectral sequence converging to the cohomology of a fusion system.
This spectral sequence is related to the Lyndon-Hochschild-Serre spectral
sequence but does not always coincide with it. We give examples and prove
Tate's $p$-nilpotency criterion following its original proof and using this new
spectral sequence.

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