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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/6581

Title: Application Of Euler’s Phi-Function In Abstract Algebra
Authors: Ahiaku, Patience
Issue Date: 24-Sep-2014
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,…,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.
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, April-2014
URI: http://hdl.handle.net/123456789/6581
Appears in Collections:College of Science

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