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Realizing representations in fusion systems

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GR2W02 - Simple groups, representations and applications

For a finite abelian p-group A and a subgroup G in Aut(A), we say that the pair (G,A) is realized by a saturated fusion system F over a finite p-group S>A if C_S(A)=A, A is not normal in F, and AutF(A)=G. In this talk, I will describe some results classifying all saturated fusion systems realizing certain pairs (G,A), as well as some showing that certain other pairs cannot be realized.

This talk is part of the Isaac Newton Institute Seminar Series series.

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