A note on the cohomology of metabelian groups
A note on the cohomology of metabelian groups
The cohomology of finitely generated metabelian groups has been studied in a series of papers by Bieri, Groves, and Strebel [2, 3, 4]. In particular, Bieri and Groves [2] have shown that every metabelian group of type (FP)? is of finite rank, and so is virtually of type (FP). The purpose of the present paper is to provide a generalization of this result and to use our methods to prove the existence of a pathological class of finitely generated soluble groups.
437-445
Kropholler, P.H.
0a2b4a66-9f0d-4c52-8541-3e4b2214b9f4
November 1985
Kropholler, P.H.
0a2b4a66-9f0d-4c52-8541-3e4b2214b9f4
Kropholler, P.H.
(1985)
A note on the cohomology of metabelian groups.
Mathematical Proceedings of the Cambridge Philosophical Society, 98 (3), .
(doi:10.1017/S0305004100063659).
Abstract
The cohomology of finitely generated metabelian groups has been studied in a series of papers by Bieri, Groves, and Strebel [2, 3, 4]. In particular, Bieri and Groves [2] have shown that every metabelian group of type (FP)? is of finite rank, and so is virtually of type (FP). The purpose of the present paper is to provide a generalization of this result and to use our methods to prove the existence of a pathological class of finitely generated soluble groups.
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Published date: November 1985
Organisations:
Mathematical Sciences
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Local EPrints ID: 349631
URI: http://eprints.soton.ac.uk/id/eprint/349631
ISSN: 0305-0041
PURE UUID: 49a1b3c0-4b81-4bb8-80b2-290c22f392a9
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Date deposited: 12 Mar 2013 13:09
Last modified: 15 Mar 2024 03:46
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