Publication:
Davenport constant for finite abelian groups

dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorAlkan, Emre
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-09T23:09:32Z
dc.date.issued2008
dc.description.abstractFor a finite abelian group G, we investigate the length of a sequence of elements of G that is guaranteed to have a subsequence with product identity of G. In particular, we obtain a bound on the length which takes into account the repetitions of elements of the sequence, the rank and the invariant factors of G. Consequently, we see that there are plenty of such sequences whose length could be much shorter than the best known upper bound for the Davenport constant of G, which is the least integer s such that any sequence of length s in G necessarily contains a subsequence with product identity. We also show that the Davenport constant for the multiplicative group of reduced residue classes modulo n is comparatively large with respect to the order of the group, which is phi(n), when n is in certain thin subsets of positive integers. This is done by studying the Carmichael's lambda function, defined as the maximal multiplicative order of any reduced residue modulo n, along these subsets.
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.issue1
dc.description.openaccessNO
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuN/A
dc.description.volume19
dc.identifier.doi10.1016/S0019-3577(08)00006-2
dc.identifier.issn0019-3577
dc.identifier.quartileQ3
dc.identifier.scopus2-s2.0-67649595538
dc.identifier.urihttps://doi.org/10.1016/S0019-3577(08)00006-2
dc.identifier.urihttps://hdl.handle.net/20.500.14288/9323
dc.identifier.wos261355200001
dc.keywordsDavenport's constant
dc.keywordsCarmichael's lambda function
dc.keywordsSequences with repetitions
dc.keywordsFinite abelian groups
dc.keywordsInvariant factors
dc.keywordsRank
dc.keywordsReduced residues
dc.language.isoeng
dc.publisherElsevier Science Bv
dc.relation.ispartofIndagationes Mathematicae-New Series
dc.subjectMathematics
dc.titleDavenport constant for finite abelian groups
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorAlkan, Emre
local.publication.orgunit1College of Sciences
local.publication.orgunit2Department of Mathematics
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relation.isOrgUnitOfPublication.latestForDiscovery2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
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