Graduation Year
2015
Date of Submission
12-2014
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Arts
Department
Mathematics
Reader 1
David Krumm
Rights Information
© 2014 Arvind Suresh
Abstract
This project is concerned with the set of primes modulo which some monic, irreducible polynomial over the integers has a root, called the Prime Set of the polynomial. We completely characterise these sets for degree 2 polynomials, and develop sufficient machinery from algebraic number theory to show that if the Galois group of a monic, irreducible polynomial over the integers is abelian, then its Prime Set can be written as the union of primes in some congruence classes modulo some integer.
Recommended Citation
Suresh, Arvind, "On the Characterization of Prime Sets of Polynomials by Congruence Conditions" (2015). CMC Senior Theses. 993.
https://scholarship.claremont.edu/cmc_theses/993
