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Reference: Segal, D, (2001). On the group rings of Abelian minimax groups. JOURNAL OF ALGEBRA, 237 (1), 64-94.Citable link to this page:


On the group rings of Abelian minimax groups

Abstract: An abelian group G is called minimax if it contains a finitely generatedsubgroup H such that G/H satisfies the minimal condition for subgroups(which I shall abbreviate to min). In this case, we may choose H to be freeabelian (by making it smaller if necessary), or we may choose G/H to bedivisible (by making H bigger if necessary). Recall that the divisibleabelian groups with min are direct products of finitely many quasicyclicgroups (groups of type Cp∞, for various primes p), and that an abeliangroup with min is the direct product of a divisible one with a finite group


Peer Review status:Peer reviewedPublication status:PublishedVersion:Publisher versionNotes:Copyright 2001 Academic Presss. Published by Elsevier B.V. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/

Bibliographic Details

Publisher: Elsevier B.V.

Publisher Website: http://www.elsevier.com/

Journal: JOURNAL OF ALGEBRAsee more from them

Publication Website: http://www.sciencedirect.com/science/journal/00218693

Issue Date: 2001-3-1


Urn: uuid:f79c69f8-56d2-4c35-b997-872f134e36eb

Source identifier: 4248

Doi: https://doi.org/10.1006/jabr.2000.8579

Issn: 0021-8693 Item Description

Type: Journal article;

Version: Publisher version Tiny URL: pubs:4248


Author: Segal, D - institutionUniversity of Oxford Oxford, MPLS, Mathematical Inst - - - - Bibliographic Details Publisher: Elsevier B.V.

Source: https://ora.ox.ac.uk/objects/uuid:f79c69f8-56d2-4c35-b997-872f134e36eb


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