Cycle Lengths of Finite Cyclotomic Mappings

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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

Thesis Degree Name: 

Master of Science: 
M.Sc.

Thesis Degree Level: 

Master's

Thesis Degree Discipline: 

Mathematics

Parent Collection: 

Theses and Dissertations

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