\BOOKMARK [1][-]{section.1}{1. Bloch-Kato and Milnor K-theory}{} \BOOKMARK [1][-]{section.2}{2. Notation and Lemmas}{} \BOOKMARK [2][-]{subsection.2.1}{2.1. Module Structure}{section.2} \BOOKMARK [2][-]{subsection.2.2}{2.2. Hereditary Properties}{section.2} \BOOKMARK [2][-]{subsection.2.3}{2.3. Fields of the Form C\(\(I Z\(p\)\)\)}{section.2} \BOOKMARK [1][-]{section.3}{3. When is Galois Cohomology Free?}{} \BOOKMARK [1][-]{section.4}{4. Examples of Hk\(E\) Free for all n