Browsing Articles: Department of Mathematics and Statistics by Author "Kimani, Patrick Mwangi"

Now showing items 1-4 of 4

    • Action of PGL(2,q) on the Cosets of the Centralizer of an Eliptic Element 

      Kimani, Patrick Mwangi; Adicka, Daniel (Uoem, 2021-08-19)
      Most researchers consider the action of projective general group on the cosets of its maximal subgroups leaving out non-maximal subgroups. In this paper, we consider the action of PGL(2,q) centralizer of an elliptic ...

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

      Mutua, Felix Mutinda; Kamaku, Peter Waweru; Kimani, Patrick Mwangi (UoEm, 2020)
      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 ...