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The k-Fibonacci group and periods of the k-step Fibonacci sequences

ArticleAçık Erişim

Özet

In this paper, we have introduced a new infinite cyclic group called the k-Fibonacci group and studied its algebraic properties. Further, we have obtained periods for k-step Fibonacci sequences in the 2-generator groups such as S3, D3, A3, Q8 and in the 3-generator group, Q8 × Z2m. © 2022 World Scientific and Engineering Academy and Society. All rights reserved.

Anahtar Kelimeler

Fibonacci Groupk-step Fibonacci sequencePeriod and Basic Period
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/12690Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.37394/23206.2022.21.95Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorKumari, Munesh
dc.contributor.authorPrasad, Kalika
dc.contributor.authorKuloǧlu, Bahar
dc.contributor.authorÖzkan, Engin
dc.date.accessioned2026-10-18T20:27:33.878443318Z
dc.date.available2026-10-18T20:27:33.878443318Z
dc.date.issued2022
dc.description.abstractIn this paper, we have introduced a new infinite cyclic group called the k-Fibonacci group and studied its algebraic properties. Further, we have obtained periods for k-step Fibonacci sequences in the 2-generator groups such as S3, D3, A3, Q8 and in the 3-generator group, Q8 × Z2m. © 2022 World Scientific and Engineering Academy and Society. All rights reserved.
dc.identifier.doi10.37394/23206.2022.21.95
dc.identifier.endpage843
dc.identifier.issn1109-2769
dc.identifier.scopus2-s2.0-85147274495
dc.identifier.startpage838
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/12690
dc.identifier.volume21
dc.language.isoen
dc.publisherWorld Scientific and Engineering Academy and Society
dc.relation.ispartofWSEAS Transactions on Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFibonacci Group
dc.subjectk-step Fibonacci sequence
dc.subjectPeriod and Basic Period
dc.titleThe k-Fibonacci group and periods of the k-step Fibonacci sequences
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus7
rdl.oa.statusgold
rdl.source.indexSCOPUS