2004/01/28 by Jürgen Klüners, G. Malle · 3 citations
Mathematics · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Limits and Structures in Graph Theory
paper · doi:10.1515/crll.2004.050
openalex publication_date 2004/01/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/15
Abstract. 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. 1.