Application of Euler’s Phi-Function in Abstract Algebra
Loading...
Date
2014-10-23
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
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
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 (Pure Mathematics),