Browsing by Author "Ahiaku, Patience"

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    Application of Euler’s Phi-Function in Abstract Algebra
    (April, 2014) Ahiaku, Patience
    Euler’s phi – function ϕ(n) is defined for every positive integer n as follows: ϕ(1)=1 and whenn≥2then ϕ(n) is the number of distinct integers k∈{1,2,…,n-1}such that k and n are relatively prime. This thesis seeks to examine the application of Euler’s phi-function in the study of cyclic groups, field extensions and cyclotomic polynomials of a finite field.
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    Application Of Euler’s Phi-Function In Abstract Algebra
    (2014-09-24) Ahiaku, Patience
    Euler’s phi – function ϕ(n) is defined for every positive integer n as follows: ϕ(1)=1 and whenn≥2then ϕ(n) is the number of distinct integers k∈{1,2,…,n-1}such that k and n are relatively prime. This thesis seeks to examine the application of Euler’s phi-function in the study of cyclic groups, field extensions and cyclotomic polynomials of a finite field. Euler’s phi – function ϕ(n) is defined for every positive integer n as follows: ϕ(1)=1 and whenn≥2then ϕ(n) is the number of distinct integers k∈{1,2,…,n-1}such that k and n are relatively prime. This thesis seeks to examine the application of Euler’s phi-function in the study of cyclic groups, field extensions and cyclotomic polynomials of a finite field.
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    Application of Euler’s Phi-Function in Abstract Algebra
    (2014-10-23) Ahiaku, Patience
    Euler’s phi – function ϕ(n) is defined for every positive integern as follows: ϕ(1)=1 and whenn≥2then ϕ(n) is the number of distinct integers k∈{1,2,…,n-1}such thatkandnare relatively prime. This thesis seeks to examine the application of Euler’s phi-function in the study of cyclic groups, field extensions and cyclotomic polynomials of a finite field