Browsing by Subject "Mobius function"
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Item Unknown On the basis of the burnside ring of a fusion system(Elsevier, 2015) Gelvin, M.; Reeh, S.P.; Yalçın, E.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 {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.