On the basis of the burnside ring of a fusion system
dc.citation.epage | 797 | en_US |
dc.citation.spage | 767 | en_US |
dc.citation.volumeNumber | 423 | en_US |
dc.contributor.author | Gelvin, M. | en_US |
dc.contributor.author | Reeh, S.P. | en_US |
dc.contributor.author | Yalçın, E. | en_US |
dc.date.accessioned | 2016-02-08T10:01:49Z | |
dc.date.available | 2016-02-08T10:01:49Z | |
dc.date.issued | 2015 | en_US |
dc.department | Department of Mathematics | en_US |
dc.description.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. | en_US |
dc.description.provenance | Made 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: 2015 | en |
dc.identifier.doi | 10.1016/j.jalgebra.2014.10.026 | en_US |
dc.identifier.eissn | 1090-266X | |
dc.identifier.issn | 0021-8693 | |
dc.identifier.uri | http://hdl.handle.net/11693/22569 | |
dc.language.iso | English | en_US |
dc.publisher | Elsevier | en_US |
dc.relation.isversionof | http://dx.doi.org/10.1016/j.jalgebra.2014.10.026 | en_US |
dc.source.title | Journal of Algebra | en_US |
dc.subject | Burnside ring | en_US |
dc.subject | Fusion systems | en_US |
dc.subject | Mobius function | en_US |
dc.title | On the basis of the burnside ring of a fusion system | en_US |
dc.type | Article | en_US |
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