Date of Award

2001

Document Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Mathematics

First Advisor

Jurgen Hurrelbrink

Abstract

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.

ISBN

9780493272757

Pages

100

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