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A note on the cohomology of metabelian groups

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.
0305-0041
437-445
Kropholler, P.H.
0a2b4a66-9f0d-4c52-8541-3e4b2214b9f4
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), 437-445. (doi:10.1017/S0305004100063659).

Record type: Article

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

Identifiers

Local EPrints ID: 349631
URI: https://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: 18 Jul 2017 04:39

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