Elementary abelian 2-primary parts of K_2 O and related graphs in certain quadratic number fields, by Anthony Vazzana

In this paper we prove the second of two conjecture made by P.E. Conner and J. Hurrelbrink. For a different class of quadratic extensions, the theorem gives an equivalent condition for the 2-part of K_2 of the rings integeres to be elementary abelian similar to the first case. The proof of the theorem makes extensive use of certain graphs which arise in this setting.

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