The University of Southampton
University of Southampton Institutional Repository

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.

This record has no associated files available for download.

More information

Published date: November 1985
Organisations: Mathematical Sciences

Identifiers

Local EPrints ID: 349631
URI: http://eprints.soton.ac.uk/id/eprint/349631
ISSN: 0305-0041
PURE UUID: 49a1b3c0-4b81-4bb8-80b2-290c22f392a9
ORCID for P.H. Kropholler: ORCID iD orcid.org/0000-0001-5460-1512

Catalogue record

Date deposited: 12 Mar 2013 13:09
Last modified: 15 Mar 2024 03:46

Export record

Altmetrics

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×