Counting Nilpotent Galois Extensions, by Juergen Klueners and Gunter Malle
We obtain strong information on the asymptotic behaviour of the counting
function for nilpotent Galois extensions with bounded discriminant of
arbitrary number fields. This extends previous investigations for the case
of abelian groups. In particular, the result confirms a conjecture by the
second author on this function for arbitrary groups in the nilpotent case.
We further prove compatibility of the conjecture with taking wreath products
with the cyclic group of order 2 and give examples in degree up to 8.
Juergen Klueners and Gunter Malle <email@example.com, firstname.lastname@example.org>