Date of Award
Master of Science (MS)
Maharaj , Hiren
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].
Beyerl, Jeff, "Binary Quadratic Forms over F[T] and Principal Ideal Domains" (2009). All Theses. 574.