Counting subgroups in a family of nilpotent semi-direct products
Counting subgroups in a family of nilpotent semi-direct products
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.
zeta functions of groups, nilpotent groups
743-752
Voll, Christopher
b7bd2890-38ac-4e05-adb7-3b376916ff79
2006
Voll, Christopher
b7bd2890-38ac-4e05-adb7-3b376916ff79
Voll, Christopher
(2006)
Counting subgroups in a family of nilpotent semi-direct products.
Bulletin of the London Mathematical Society, 38 (5), .
(doi:10.1112/S0024609306018881).
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.
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Published date: 2006
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The version on the arxiv differs slightly from the published version.
Keywords:
zeta functions of groups, nilpotent groups
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Local EPrints ID: 42200
URI: http://eprints.soton.ac.uk/id/eprint/42200
ISSN: 0024-6093
PURE UUID: 8575d00e-c464-488c-91f1-df3a98fee3a9
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Date deposited: 22 Nov 2006
Last modified: 15 Mar 2024 08:46
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Author:
Christopher Voll
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