Gelvin, M.Reeh, S.P.Yalçın, E.2016-02-082016-02-0820150021-8693http://hdl.handle.net/11693/22569We 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 {αP}. We give an explicit formula that describes αP as an S-set. In the formula we use a combinatorial concept called broken chains which we introduce to understand inverses of modified Möbius functions. © 2014 Elsevier Inc.EnglishBurnside ringFusion systemsMobius functionOn the basis of the burnside ring of a fusion systemArticle10.1016/j.jalgebra.2014.10.0261090-266X