# ag.algebraic geometry – Third Galois Cohomology Group

It is well known that when $$K$$ is a local or global field the Galois cohomology group $$H^{3}(K,K_{text{sep}}^{times})=0$$ where $$K_{text{sep}}$$ denotes the separable closure of $$K$$. Could someone give an example of a field $$K$$ where $$H^{3}(K,K_{text{sep}}^{times}) neq 0$$ and why it is non-zero in this case?