BYU

Abstract by Vandy Tombs

Personal Infomation


Presenter's Name

Vandy Tombs

Co-Presenters

None

Degree Level

Masters

Co-Authors

None

Abstract Infomation


Department

Mathematics

Faculty Advisor

Pace Nielsen

Title

Admissible Primes and Euclidean Domains

Abstract

Clark and Murty defined admissible primes in the following way. Given a PID, R, whose quotient field is a totally real Galois extension of the rationals, {p1, p2, ... , pn} of distinct non-associate prime elements of R form a set of admissible primes if for all p1a1·p2a··· pnan, where ai is a non-negative integer, every co-prime residue class can be represented by a unit of R. We will discuss the relationship between sets of admissible primes and Euclidean Domains and other applications. We will also present an algorithm that can be used to find sets of admissible primes.