Derivation Of The Cycle Index Formula Of The Affine ( ) Group As A Semidirect Product Of The Cyclic Groups    An

dc.contributor.author	Muthoka, G
dc.contributor.author	Kamuti, I
dc.contributor.author	Kavila, M
dc.date.accessioned	2020-08-08T08:00:00Z
dc.date.available	2020-08-08T08:00:00Z
dc.date.issued	2019
dc.identifier.uri	http://repository.kyu.ac.ke/123456789/318
dc.description.abstract	Abstract In this paper, we derive the cycle index formula of an affine( ) group acting on the elements of the field ℤ.The resulting cycle index is given as;( , )= \|\| +( − 1) + ∑∅( ) \|( ) !.We further express the resulting cycle in terms of the cycle index formula of"=#$ + % &ℎ()( % ∈ ℤ+ and the cycle index formula of " = #,$ &ℎ()( 0 ≠ , ∈ ℤ+ which the affine(p) group is a semi-direct product of. We also use the resulting cycle index formulas to solve some examples.	en_US
dc.subject	Affine( ) group, Cycle Index and Semi-direct product group.	en_US
dc.title	Derivation Of The Cycle Index Formula Of The Affine ( ) Group As A Semidirect Product Of The Cyclic Groups An	en_US
dcterms.publisher	International Journal of Scientific Research and Innovative Technology