Centralizers of Subsystems of Fusion Systems

2014/02/20 by Semeraro, Jason
#20 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1402.4981

Abstract

When (S,F,L) is a p-local finite group and (T,E,\mathcalŁ₀) is weakly normal in (S,F,L) we show that a definition of C_S(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 C_F(E) on C_S(E).

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