On the basis of the burnside ring of a fusion system
Author
Gelvin, M.
Reeh, S.P.
Yalçın, E.
Date
2015Source Title
Journal of Algebra
Print ISSN
0021-8693
Electronic ISSN
1090-266X
Publisher
Elsevier
Volume
423
Pages
767 - 797
Language
English
Type
ArticleItem Usage Stats
121
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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 {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.