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arXiv 2014-02-20 0 views

Centralizers of Subsystems of Fusion Systems

Semeraro, Jason

Original · EN

When (S,F,L) is a p-local finite group and (T,E,Ł₀) is weakly normal in (S,F,L) we show that a definition of Cₛ(E) given by Aschbacher has a simple interpretation from which one can deduce existence and strong closure very easily. We also appeal to a result of Gross to give a new proof that there is a unique fusion system CF(E) on Cₛ(E).

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