Generation of polycyclic groups
Generation of polycyclic groups
We give a new and self-contained proof of a theorem of Linnell and Warhurst that d(G) – d(?) 1 for finitely generated virtually torsion-free soluble minimax groups G. We also give a simple sufficient condition for the equality d(G) = d(?) to hold when G is virtually abelian.
567-577
Kassabov, Martin
b78efbac-c468-4838-ac56-5f23181f595c
Nikolov, Nikolay
1e087391-9019-4753-ae22-0a4807e15c7b
July 2009
Kassabov, Martin
b78efbac-c468-4838-ac56-5f23181f595c
Nikolov, Nikolay
1e087391-9019-4753-ae22-0a4807e15c7b
Kassabov, Martin and Nikolov, Nikolay
(2009)
Generation of polycyclic groups.
Journal of Group Theory, 12 (4), .
(doi:10.1515/JGT.2008.098).
Abstract
We give a new and self-contained proof of a theorem of Linnell and Warhurst that d(G) – d(?) 1 for finitely generated virtually torsion-free soluble minimax groups G. We also give a simple sufficient condition for the equality d(G) = d(?) to hold when G is virtually abelian.
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Submitted date: March 2008
Published date: July 2009
Identifiers
Local EPrints ID: 155171
URI: http://eprints.soton.ac.uk/id/eprint/155171
ISSN: 1433-5883
PURE UUID: 6dab691d-2e49-47bc-8ec6-88fff687cb77
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Date deposited: 27 May 2010 11:17
Last modified: 14 Mar 2024 01:37
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Author:
Martin Kassabov
Author:
Nikolay Nikolov
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