Application Of Euler’s Phi-Function In Abstract Algebra
| dc.contributor.author | Ahiaku, Patience | |
| dc.date.accessioned | 2014-09-24T10:52:12Z | |
| dc.date.accessioned | 2023-04-20T08:49:05Z | |
| dc.date.available | 2014-09-24T10:52:12Z | |
| dc.date.available | 2023-04-20T08:49:05Z | |
| dc.date.issued | 2014-09-24 | |
| dc.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 | en_US |
| dc.description.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. | en_US |
| dc.description.sponsorship | KNUST | en_US |
| dc.identifier.uri | https://ir.knust.edu.gh/handle/123456789/6581 | |
| dc.language.iso | en | en_US |
| dc.title | Application Of Euler’s Phi-Function In Abstract Algebra | en_US |
| dc.type | Thesis | en_US |
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