Creator:
Alshareef, Zynab
Date:
2018
Abstract:
Let $q=p^e$ be a power of prime number $p$ and $\fq$ be a finite field with $q$ elements. Let $\Phi_n$ be the $nth$ cyclotomic polynomial over $\fq$ such that $q$ is congruent to $\pm 1$ modulo each prime divisor of $n$. We use composed products to obtain an explicit factorization of $\Phi_n$ over the finite field $\fq$.
Subject:
Mathematics
Language:
English
Publisher:
Carleton University
Identifier:
Thesis Degree Name:
Master of Science:
M.Sc.
Thesis Degree Level:
Master's
Thesis Degree Discipline:
Pure Mathematics
Parent Collection:
Theses and Dissertations