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Normal subgroup growth in free class-2-nilpotent groups

Normal subgroup growth in free class-2-nilpotent groups
Normal subgroup growth in free class-2-nilpotent groups
Let F2,d denote the free class-2-nilpotent group on d generators. We compute the normal zeta functions zeta^\triangleleftF2,d(s), prove that they satisfy local functional equations and determine their abscissae of convergence and pole orders.
zeta functions of groups, free nilpotent groups
0025-5831
67-79
Voll, Christopher
b7bd2890-38ac-4e05-adb7-3b376916ff79
Voll, Christopher
b7bd2890-38ac-4e05-adb7-3b376916ff79

Voll, Christopher (2005) Normal subgroup growth in free class-2-nilpotent groups. Mathematische Annalen, 332 (1), 67-79. (doi:10.1007/s00208-004-0617-z).

Record type: Article

Abstract

Let F2,d denote the free class-2-nilpotent group on d generators. We compute the normal zeta functions zeta^\triangleleftF2,d(s), prove that they satisfy local functional equations and determine their abscissae of convergence and pole orders.

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More information

Published date: 2005
Keywords: zeta functions of groups, free nilpotent groups

Identifiers

Local EPrints ID: 42196
URI: http://eprints.soton.ac.uk/id/eprint/42196
ISSN: 0025-5831
PURE UUID: b0b33de3-fbe3-43ac-af50-d5a5c7f1caed

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Date deposited: 23 Nov 2006
Last modified: 15 Mar 2024 08:46

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Author: Christopher Voll

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