Ranks and Subdegrees of External Direct Product of Cn Dr Acting on X Y
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
UoEm
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( r1
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( r2
2 )].
Description
Keywords
Action, Cyclic group, Dihedral group, External direct prod- uct, Cartesian product, Rank, Subdegrees
Citation
https://doi.org/10.12988/ija.2020.91273