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.

Anthony Vazzana <vazzana@math.lsa.umich.edu>