Creator:
Thompson, Trevor Alan Flash
Date:
2022
Abstract:
We examine several classes of finite cyclotomic mappings and derive necessary and sufficient conditions for polynomials of these classes to have a cycle length dividing a given integer $k$. In particular, we give necessary and sufficient conditions for any cyclotomic mapping of index $4$ or fewer to have cycle of length dividing $k$ in terms of the values of the function $f(x^s)$.
Subject:
Mathematics
Language:
English
Publisher:
Carleton University
Identifier:
Thesis Degree Name:
Master of Science:
M.Sc.
Thesis Degree Level:
Master's
Thesis Degree Discipline:
Mathematics
Parent Collection:
Theses and Dissertations