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Quasi-Varieties, Congruences, and Generalized Dowling Lattices

dc.contributor.authorBlass, Andreasen_US
dc.date.accessioned2006-09-11T17:31:05Z
dc.date.available2006-09-11T17:31:05Z
dc.date.issued1995-10en_US
dc.identifier.citationBlass, Andreas; (1995). "Quasi-Varieties, Congruences, and Generalized Dowling Lattices." Journal of Algebraic Combinatorics 4(4): 277-294. <http://hdl.handle.net/2027.42/46219>en_US
dc.identifier.issn0925-9899en_US
dc.identifier.issn1572-9192en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/46219
dc.description.abstractDowling lattices and their generalizations introduced by Hanlon are interpreted as lattices of congruences associated to certain quasi-varieties of sets with group actions. This interpretation leads, by a simple application of Möbius inversion, to polynomial identities which specialize to Hanlon's evaluation of the characteristic polynomials of generalized Dowling lattices. Analogous results are obtained for a few other quasi-varieties.en_US
dc.format.extent994277 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherKluwer Academic Publishers-Plenum Publishers; Kluwer Academic Publishers ; Springer Science+Business Mediaen_US
dc.subject.otherMathematicsen_US
dc.subject.otherComputer Science, Generalen_US
dc.subject.otherGroup Theory and Generalizationsen_US
dc.subject.otherOrder, Lattices, Ordered Algebraic Structuresen_US
dc.subject.otherCombinatoricsen_US
dc.subject.otherConvex and Discrete Geometryen_US
dc.subject.otherDowling Latticeen_US
dc.subject.otherCongruenceen_US
dc.subject.otherFree Algebraen_US
dc.subject.otherCharacteristic Polynomialen_US
dc.subject.otherQuasi-varietyen_US
dc.titleQuasi-Varieties, Congruences, and Generalized Dowling Latticesen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, University of Michigan, Ann Arbor, MI, 8109-1003en_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/46219/1/10801_2004_Article_415020.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1023/A:1022480431917en_US
dc.identifier.sourceJournal of Algebraic Combinatoricsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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