Browsing Journal Articles by Author "Muthoka, Geoffrey"
Now showing items 1-9 of 9
-
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 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 ... -
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; Lao, Hussein (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 ... -
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 ... -
Cycle Index Formulas for Dn Acting on Ordered pairs
Muthoka, Geoffrey; Kamuti, Ireri; Kimani, Patrick; Hussein, Lao (UoEm, 2016-04)The cycle index of dihedral group Dn acting on the set of the vertices of a regular n-gon was studied by Harary and Palmer in 1973 [1]. Since then a number of researchers have studied the cycle indices dihedral group ... -
Cycle Index Formulas for Dn Acting on Unordered Pairs
Muthoka, Geoffrey; Kamuti, Ireri; Lao, Hussein; kimani, patrick (UoEm, 2015)The cycle index of dihedral group Dn acting on the set X of the vertices of a regular -gon was studied (See [1]). In this paper we study the cycle index formulas of Dn acting on unordered pairs from the set x . In ... -
Enumeration of cyclic codes over GF(17)
Hussein, Lao; Kivunge, Benard; Muthoka, Geoffrey; Mwangi, Patrick (UoEm, 2015-05)In this paper we seek the number of irreducible polynomials of xn− 1 over GF(17). We factorize Xn− 1 over GF(17)into irreducible polynomials using cyclotomic cosets of 17 modulo n . The number of irreducible polynomials ... -
On the Number of Cyclotomic Cosets and Cyclic Codes over Z13
Hussein, Lao; Kivunge, Benard; Kimani, Patrick; Muthoka, Geoffrey (UoEm, 2018-06)Let Zq be a finite field with q element and x n − 1 be a given cyclotomic polynomial. The number of cyclotomic cosets and cyclic codes has not been done in general. Although for different values of q the polynomial x n ...