Date of Award
Spring 5-3-2024
Document Type
Honors Project
Degree Name
Bachelor of Science
Department
Mathematics
Department Chair or Program Director
Esunge, Julius
First Advisor
Lehman, Larry
Major or Concentration
Mathematics
Abstract
It is possible to completely describe the representation of any integer by binary quadratic forms of a given discriminant when the discriminant’s class group is a Boolean group (also known as an elementary abelian 2-group). For other discriminants, we can partially describe the representation using the structure of the class group. The goal of the present project is to find whether any class group with 32 elements and a primitive positive definite discriminant is a Boolean group. We find that no such class group is Boolean.
Recommended Citation
Hudert, Christopher Albert Jr., "Boolean Group Structure in Class Groups of Positive Definite Quadratic Forms of Primitive Discriminant" (2024). Student Research Submissions. 565.
https://scholar.umw.edu/student_research/565