Counting subgroups in a family of nilpotent semi-direct products


Voll, Christopher (2006) Counting subgroups in a family of nilpotent semi-direct products. Bulletin of the London Mathematical Society, 38, (5), 743-752. (doi:10.1112/S0024609306018881).

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Description/Abstract

In this paper we compute the subgroup zeta functions of nilpotent groups of the form \[G_n := \langle x_1,\dots,x_{n},y_1,\dots,y_{n-1}|\;[x_i,x_n]=y_i,\;1\leq i \leq n-1\], all other [,] trivial [right angle bracket] and deduce local functional equations.

Item Type: Article
Additional Information: The version on the arxiv differs slightly from the published version.
ISSNs: 0024-6093 (print)
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Keywords: zeta functions of groups, nilpotent groups
Subjects: Q Science > QA Mathematics
Divisions: University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics
Item ID: 42200
Date Deposited: 22 Nov 2006
Last Modified: 01 Jun 2011 09:08
Contributors: Voll, Christopher (Author)
Date: 2006
Additional Information: The version on the arxiv differs slightly from the published version.
Status: Published
Contact Email Address: voll@soton.ac.uk
URI: http://eprints.soton.ac.uk/id/eprint/42200

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