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dc.contributor.authorSharma, Karnikaen_US
dc.contributor.authorBhat, Vijay Kumaren_US
dc.date.accessioned2022-07-18T11:36:11Z
dc.date.available2022-07-18T11:36:11Z
dc.date.issued2022
dc.identifier.citationSharma, K. & Bhat, V. K. (2022). On the orbits of some metabelian groups. TWMS Journal Of Applied And Engineering Mathematics, 12(3), 799-807.en_US
dc.identifier.issn2146-1147
dc.identifier.issn2587-1013
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/4667
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/116-vol12no3/865
dc.description.abstractIn this study, the orbits of non abelian metabelian groups of order 26, 28 and 30 are found using conjugation action. The non abelian metabelian groups considered in this study are some dihedral groups D₁₃, D₁₄ and D₁₅ as well as the semidirect products D₇ × Z₂, D₅ × Z₃ and D₃ × Z₅. In order to obtain the orbit, the set of all pairs of commuting elements of the groups of size two is found. The results obtained from the orbits are then applied into an extension of commutativity degree which is the probability that an element of the groups fixes a set. Finally, the generalized conjugacy class graph is constructed and its chromatic number and clique number are also found.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectMetabelian groupen_US
dc.subjectConjugacy class graphen_US
dc.subjectComplete graphen_US
dc.subjectGroup actionen_US
dc.titleOn the orbits of some metabelian groupsen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.relation.journalTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.identifier.volume12
dc.identifier.issue3
dc.identifier.startpage799
dc.identifier.endpage807
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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