Titel: Asymptotics of nilpotent extensions of number fields
Abstract: We give an overview about the proof of the weak Malle conjecture for nilpotent groups. Given a group G and a number field k, Malle defines a counting function.
Z(k,G;x) which counts all (finitely many) number fields with Galois group G and norm of the discriminant bounded by x. Malle conjectures that this counting function is
O(x^a * log(x)), where a(G) and b(k,G) are explicit constants. In the weak version we show the correctness of the constant a(G).