On the basis of the burnside ring of a fusion system

dc.citation.epage797en_US
dc.citation.spage767en_US
dc.citation.volumeNumber423en_US
dc.contributor.authorGelvin, M.en_US
dc.contributor.authorReeh, S.P.en_US
dc.contributor.authorYalçın, E.en_US
dc.date.accessioned2016-02-08T10:01:49Z
dc.date.available2016-02-08T10:01:49Z
dc.date.issued2015en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractWe 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.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T10:01:49Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2015en
dc.identifier.doi10.1016/j.jalgebra.2014.10.026en_US
dc.identifier.eissn1090-266X
dc.identifier.issn0021-8693
dc.identifier.urihttp://hdl.handle.net/11693/22569
dc.language.isoEnglishen_US
dc.publisherElsevieren_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/j.jalgebra.2014.10.026en_US
dc.source.titleJournal of Algebraen_US
dc.subjectBurnside ringen_US
dc.subjectFusion systemsen_US
dc.subjectMobius functionen_US
dc.titleOn the basis of the burnside ring of a fusion systemen_US
dc.typeArticleen_US

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