Date of Award

5-2009

Document Type

Thesis

Degree Name

Master of Science (MS)

Legacy Department

Mathematics

Advisor

James, Kevin

Committee Member

Maharaj , Hiren

Abstract

This paper concerns binary quadratic forms over F[T]. It develops theory analogous to the theory of binary quadratic forms over the integers. Most although not all of the results are almost identical, while some of the proofs require different techniques.
In particular, the form class group is determined when the form takes values in a principal ideal domain, and the ideal class group (and class group isomorphism) is determined when the form takes values in F[T].

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