Browsing Articles: Department of Mathematics and Statistics by Author "Kamuti, Ireri"

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    • Cycle Index Formulas for D n Acting on Unordered Pairs 

      Muthoka, Geoffrey; Kamuti, Ireri; Lao, Hussein; Kimani, Patrick Mwangi (Uoem, 2015)
      The cycle index of dihedral group D n acting on the set of X the vertices of a regular n- gon was studied (See [1]). In this paper we study the cycle index formulas of D n acting on unordered pairs from the set . In each ...

    • Rank and Subdegrees of PGL(2; q) Acting Cosets of PGL(2; e) for q an Even Power of e 

      Kimani, Patrick Mwangi; Kamuti, Ireri; Rimberia, Jane (UoEm, 2019)
      The action of projective general group on the cosets of its maximal subgroups has been studied. For instance, [9] studied the action of G on the cosets of PGL(2; e) when q is an odd prime power of e. In this paper, we ...

    • 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 ...