Normal subgroup growth in free class-2-nilpotent groups

2004/09/21 by Christopher Voll, Voll, Christopher
Mathematics · #11 M 41 #20 E 07 #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Group Theory (math.GR) #Limits and Structures in Graph Theory #math.GR #msc:07 #msc:11 #msc:20 #msc:41

paper · pdf · doi:10.48550/arxiv.math/0409383

14 pages

arxiv created 2004/09/21 · openalex publication_date 2004/09/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let F_2,d denote the free class-2-nilpotent group on d generators. We compute the normal zeta functions ζ^\triangleleft_F_2,d(s), prove that they satisfy local functional equations and determine their abscissae of convergence and pole orders.

Related

• Subgroup growth in free class-2-nilpotent groups
• Geometric structure of class two nilpotent groups and subgroup growth
• The normal zeta function of the free class two nilpotent group on four generators
• Normal zeta functions of small mathfrakT₂-groups and their\n behaviour on residue classes
• Functional equations for local normal zeta functions of nilpotent groups