Date of Award
Doctor of Philosophy (PhD)
Conner and Hurrelbrink established a method of determining the structure of the 2-Sylow subgroup of the tame kernel K2( O ) for certain quadratic number fields. Specifically, the 4-rank for these fields was characterized in terms of positive definite binary quadratic forms. Numerical calculations led to questions concerning possible density results of the 4-rank of tame kernels. In this thesis, we succeed in giving affirmative answers to these questions.
Osburn, Robert Burke, "Densities of 4-Ranks of K(2) of Rings of Integers." (2001). LSU Historical Dissertations and Theses. 304.