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
(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
(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
(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 ... -
Rank and Subdegrees of P GL(2, q) Acting Cosets of P GL(2, e) for q an Even Power of e
(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 P GL(2, e) when q is an odd prime power of e. In this paper, we ... -
Rank and Subdegrees of PGL(2; q) Acting Cosets of PGL(2; e) for q an Even Power of e
(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
(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 ...