Suborbits and Suborbital Graphs of the Symmetric Group acting on Ordered r-element Subsets

Jane Rimberia, Ireri Kamuti, Bernard Kivunge, Francis Kinyua

Abstract


The ranks and subdegrees of the symmetric group  acting on ,  the set of all ordered  r-element subsets from X have been studied (See Rimberia [4]). In this paper, we examine some properties of suborbits and suborbital graphs of  acting on .

 

Keyword: Suborbital graphs, Suborbits, Symmetric Group, Group action


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ISSN (Paper)2224-5804 ISSN (Online)2225-0522

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