Mathematics > Group Theory
[Submitted on 21 Nov 2007 (v1), last revised 27 Mar 2008 (this version, v2)]
Title:Generation of polycyclic groups
View PDFAbstract: In this note we give an alternative proof of a theorem of Linnell and Warhurst that the number of generators d(G) of a polycyclic group G is at most d(\hat G), where d(\hat G) is the number of generators of the profinite completion of G. While not claiming anything new we believe that our argument is much simpler that the original one. Moreover our result gives some sufficient condition when d(G)=d(\hat G) which can be verified quite easily in the case when G is virtually abelian.
Submission history
From: Martin Kassabov [view email][v1] Wed, 21 Nov 2007 19:43:00 UTC (8 KB)
[v2] Thu, 27 Mar 2008 17:23:17 UTC (9 KB)
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