Ranks, Subdegrees and Suborbital Graphs of Direct Product of the Symmetric Group Acting on the Cartesian Product of Three Sets

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dc.contributor.authorGikunju, David Muriuki
dc.contributor.authorNyaga, Lewis Namu
dc.contributor.authorRimberia, Jane Kagwiria
dc.date.accessioned2023-07-25T09:53:28Z
dc.date.available2023-07-25T09:53:28Z
dc.date.issued2017-02
dc.descriptionarticleen_US
dc.description.abstractTransitivity and Primitivity of the action of the direct product of the symmetric group on Cartesian product of three sets are investigated in this paper. We prove that this action is both transitive and imprimitive for all n ³ 2 . In addition, we establish that the rank associated with the action is a constant 3 2 . Further; we calculate the subdegrees associated with the action and arrange them according to their increasing magnitude.en_US
dc.identifier.citationGikunju David Muriuki, Nyaga Lewis Namu, Rimberia Jane Kagwiria. Ranks, Subdegrees and Suborbital Graphs of Direct Product of the Symmetric Group Acting on the Cartesian Product of Three Sets. Pure and Applied Mathematics Journal. Vol. 6, No. 1, 2017, pp. 1-4. doi: 10.11648/j.pamj.20170601.11en_US
dc.identifier.otherdoi: 10.11648/j.pamj.20170601.11
dc.identifier.urihttp://ir-library.ku.ac.ke/handle/123456789/26394
dc.language.isoenen_US
dc.publisherscience publishing groupen_US
dc.subjectDirect Producten_US
dc.subjectSymmetric Groupen_US
dc.subjectActionen_US
dc.subjectRanken_US
dc.subjectSubdegreesen_US
dc.subjectCartesian Producten_US
dc.subjectSuborbiten_US
dc.titleRanks, Subdegrees and Suborbital Graphs of Direct Product of the Symmetric Group Acting on the Cartesian Product of Three Setsen_US
dc.typeArticleen_US
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