On profinite groups of type FP infinity
On profinite groups of type FP infinity
Suppose R is a profinite ring. We construct a large class of profinite groups View the MathML source, including all soluble profinite groups and profinite groups of finite cohomological dimension over R . We show that, if View the MathML source is of type FP? over R, then there is some n such that View the MathML source, and deduce that torsion-free soluble pro-p groups of type FP? over Zp have finite rank, thus answering the torsion-free case of a conjecture of Kropholler.
216-255
Corob Cook, Ged
de8c4e37-ab72-4e7c-ad10-a940066433c5
14 May 2016
Corob Cook, Ged
de8c4e37-ab72-4e7c-ad10-a940066433c5
Abstract
Suppose R is a profinite ring. We construct a large class of profinite groups View the MathML source, including all soluble profinite groups and profinite groups of finite cohomological dimension over R . We show that, if View the MathML source is of type FP? over R, then there is some n such that View the MathML source, and deduce that torsion-free soluble pro-p groups of type FP? over Zp have finite rank, thus answering the torsion-free case of a conjecture of Kropholler.
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On profinite groups of type FP_infty.pdf
- Accepted Manuscript
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Accepted/In Press date: 23 February 2016
e-pub ahead of print date: 9 March 2016
Published date: 14 May 2016
Organisations:
Pure Mathematics
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Local EPrints ID: 397235
URI: http://eprints.soton.ac.uk/id/eprint/397235
ISSN: 0001-8708
PURE UUID: 96a6a9f8-6591-4bff-b7f7-4a3c17be483f
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Date deposited: 30 Jun 2016 09:28
Last modified: 15 Mar 2024 05:41
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Author:
Ged Corob Cook
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