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John Rognes: `On the image of Milnor's K_{4} in Quillen's
K_{4}'.

For a field F, there is a natural map from Milnor K-theory
K^{M}(F) to Quillen's algebraic K-theory K(F). The map is an
isomorphism in dimensions <= 2, and its image is well understood in
dimension 3. When F is a number field, the image is zero in dimensions
>= 5. Addressing a question of Suslin, we give a
lower bound on the order of the image in dimension 4, which is sometimes
nontrivial for real number fields.