Journal article
On the group rings of Abelian minimax groups
- Abstract:
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An abelian group G is called minimax if it contains a finitely generated subgroup 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 free abelian (by making it smaller if necessary), or we may choose G/H to be divisible (by making H bigger if necessary). Recall that the divisible abelian groups with min are direct products of finitely many quasicyclic groups (groups of type Cp∞, for various primes p), and that an abelian group with min is the direct product of a divisible one with a finite group...
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 200.6KB, Terms of use)
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- Publisher copy:
- 10.1006/jabr.2000.8579
Authors
- Publisher:
- Elsevier
- Journal:
- JOURNAL OF ALGEBRA More from this journal
- Volume:
- 237
- Issue:
- 1
- Pages:
- 64-94
- Publication date:
- 2001-03-01
- DOI:
- ISSN:
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0021-8693
- Pubs id:
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pubs:4248
- UUID:
-
uuid:f79c69f8-56d2-4c35-b997-872f134e36eb
- Local pid:
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pubs:4248
- Source identifiers:
-
4248
- Deposit date:
-
2012-12-19
- ARK identifier:
Terms of use
- Copyright holder:
- Elsevier BV
- Copyright date:
- 2001
- Notes:
- 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/
- Licence:
- Other
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