3 arxiv tag for k-theory
2 edited tags
1

# Why is Milnor K-theory not ad hoc?

When Milnor introduced in "Algebraic K-Theory and Quadratic Forms" the Milnor K-groups he said that his definition is motivated by Matsumoto's presentation of algebraic for a field but is in the end purely ad hoc for . My questions are:

1. What exactly could Milnor prove with these -groups? What was his motivation except for Matsumoto's theorem?
2. Why did this ad hoc definition become so important? Why is it so natural?