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.

Bibliographic Details
Main Authors: Kassabov, Martin (Author), Nikolov, Nikolay (Author)
Format: Article
Language:English
Published: 2009-07.
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Description
Summary: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.