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Title:  Application Of Euler’s PhiFunction In Abstract Algebra 
Authors:  Ahiaku, Patience 
Issue Date:  24Sep2014 
Abstract:  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,…,n1}such that k and n are relatively prime.
This thesis seeks to examine the application of Euler’s phifunction 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,…,n1}such that k and n are relatively prime.
This thesis seeks to examine the application of Euler’s phifunction in the study of cyclic groups, field extensions and cyclotomic polynomials of a finite field. 
Description:  A Thesis Submitted to the Department of Mathematics, Kwame Nkrumah University of Science and Technology in Partial Fulfillment of the Degree of Master of Philosophy in Pure Mathematics, April2014 
URI:  http://hdl.handle.net/123456789/6581 
Appears in Collections:  College of Science

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