Browsing Articles: Department of Mathematics and Statistics by Author "Kimani, Patrick"
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Application of Marks to Computation of Ranks and Subdegrees of the Symmetric Group Acting on Ordered 4-Element and 5- Element Subsets
Kimani, Patrick; Rimberia, Jane; Muthoka, Geoffrey; Lao, Hussein; Kimani, Jacob (UoEm, 2015)Ranks and subdegrees can be computed using combinatorial arguments, the Cauchy-Frobenius lemma and use of the concept of marks. However the concept of Marks has been given very little attention. In this paper we will apply ... -
Application of Marks to Computation of Ranks and Subdegrees of the Symmetric Group Acting on Ordered Pairs and on Ordered Triples
Kimani, Patrick; Rimberia, Jane; Muthoka, Geoffrey; Muthoka, Geoffrey (Uoem, 2014)Ranks and subdegrees can be computed using combinatorial arguments, the Cauchy-Frobenius lemma and use of the concept of marks. However the concept of Marks has been given very little attention. In this paper we will apply ... -
Ranks, Subdegrees and Suborbital graphs of the product action of Affine Groups
Agwanda, Siahi Maxwell; Kimani, Patrick; Kamuti, Ireri (UoEm, 2020)The action of affine groups on Galois field has been studied. For instance, [3] studied the action of 𝐴𝑓𝑓 (𝑞 ) on Galois field 𝐺𝐹 (𝑞) for 𝑞 a power of prime 𝑝. In this paper, the rank and subdegree of the direct ...