On the Basis of the Burnside Ring of a Fusion System

Abstract

Abstract. We consider the Burnside ring A(F) of F-stable S-sets for a saturated fusion system F defined on a p-group S. It is shown by S. P. Reeh that the monoid of F-stable sets is a free commutative monoid with canonical basis {↵P }. We give an explicit formula that describes ↵P as an S-set. In the formula we use a combinatorial concept called broken… (More)

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