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

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    Article (188.1Kb)
    Date
    2020
    Author
    Mutua, Felix Mutinda
    Kamaku, Peter Waweru
    Kimani, Patrick Mwangi
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    Abstract
    In 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 )].
    URI
    https://doi.org/10.12988/ija.2020.91273
    http://repository.embuni.ac.ke/handle/123456789/4198
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    • Articles: Department of Mathematics and Statistics [85]

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