defining relation in Milnor K-theory

The defining relation in Milnor K-theory is the Steinberg relation, which states that for any field \(F\) and any \(a, b \in F^\times\) with \(a + b = 1\), the symbol \(\{a, b\}\) vanishes in \(K_2^M(F)\), and more generally \(\{a, 1 - a\} = 0\) generates the ideal of relations in the tensor algebra defining \(K_*^M(F)\).