Ranks and Subdegrees of External Direct Product of Cn Dr Acting on X Y

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dc.contributor.authorMutua, Felix Mutinda
dc.contributor.authorKamaku, Peter Waweru
dc.contributor.authorKimani, Patrick Mwangi
dc.date.accessioned2022-10-28T08:59:51Z
dc.date.available2022-10-28T08:59:51Z
dc.date.issued2020
dc.description.abstractIn this paper, transitivity, ranks and subdegrees of the action of ex- ternal direct product of Cyclic and Dihedral group on Cartesian Product of two sets are determined. The action is proved to be transitive. Also, it's established that the rank associated with the action is n( r+1 2 ) and subdegrees are [1][n] and [2][n( r􀀀1 2 )] when r is old. Additionally, the rank of the action for the case where r is even is proved to be n( r+2 2 ) and subdegrees are [1][2n] and [2][n( r􀀀2 2 )].en_US
dc.identifier.citationhttps://doi.org/10.12988/ija.2020.91273en_US
dc.identifier.urihttps://doi.org/10.12988/ija.2020.91273
dc.identifier.urihttp://repository.embuni.ac.ke/handle/123456789/4198
dc.language.isoenen_US
dc.publisherUoEmen_US
dc.subjectActionen_US
dc.subjectCyclic groupen_US
dc.subjectDihedral groupen_US
dc.subjectExternal direct prod- ucten_US
dc.subjectCartesian producten_US
dc.subjectRanken_US
dc.subjectSubdegreesen_US
dc.titleRanks and Subdegrees of External Direct Product of Cn Dr Acting on X Yen_US
dc.typeArticleen_US
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