Off-campus UMass Amherst users: To download campus access dissertations, please use the following link to log into our proxy server with your UMass Amherst user name and password.

Non-UMass Amherst users: Please talk to your librarian about requesting this dissertation through interlibrary loan.

Dissertations that have an embargo placed on them will not be available to anyone until the embargo expires.

Author ORCID Identifier

N/A

AccessType

Open Access Dissertation

Document Type

dissertation

Degree Name

Doctor of Philosophy (PhD)

Degree Program

Mathematics

Year Degree Awarded

2014

Month Degree Awarded

February

First Advisor

Farshid Hajir

Second Advisor

Tom Weston

Third Advisor

Siman Wong

Subject Categories

Number Theory

Abstract

We explore certain arithmetic properties of iterated extensions. Namely, we compute the index associated to certain families of iterated polynomials and determine the decomposition of prime ideals in others.

DOI

https://doi.org/10.7275/3ts6-qa19

Included in

Number Theory Commons

Share

COinS