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Shelling The Coset Poset

dc.contributor.authorWoodroofe, Russell S
dc.date.accessioned2005-07-26T23:34:13Z
dc.date.available2005-07-26T23:34:13Z
dc.date.issued2003-06-24
dc.description.abstractIt is shown that the coset lattice of a finite group has shellable order complex if and only if the group is complemented. It is also shown that the order complex is Cohen-Macaulay under the same circumstances. The group theoretical tools used are relatively elementary, and avoid the classification of finite simple groups and of minimal finite simple groups.en_US
dc.format.extent248062 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.citationRuss Woodroofe, Shelling the coset poset, 2003, arXiv:math.NT/9810036en_US
dc.identifier.otherbibid: 6475811
dc.identifier.urihttps://hdl.handle.net/1813/2105
dc.language.isoen_US
dc.publisherarXiv.orgen_US
dc.subjectgroup theoryen_US
dc.subjectcombinatoricsen_US
dc.subjectposeten_US
dc.subjectcomplemented groupen_US
dc.subjectcoseten_US
dc.titleShelling The Coset Poseten_US
dc.typedissertation or thesisen_US

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