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Strong subgroup chains and the Baer-Specker group

Research Output:
Chapter in Book/Report/Conference proceeding
Chapter
 Peer-review

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Abstract

Examples are given of non-elementary properties that are preserved under Cfiltrations for various classes C of abelian groups. The Baer-Specker group ℤw is never the union of a chain áAa : a < dñ of proper subgroups such that ℤw/Aa is cotorsionfree. Cotorsionfree groups form an abstract elementary class (AEC). The Kaplansky invariants of ℤw/ℤ(w) are used to determine the AECs (ℤw/ℤ(w)) and (B/A), where B/A is obtained by factoring the Baer- Specker group B of a ZFC extension by the Baer-Specker group A of the ground model, under various hypotheses, yielding information about its stability spectrum.

Publication Information

Output type

Research Output:
Chapter in Book/Report/Conference proceeding
Chapter
 Peer-review

Original language

English

Pages from-to (Number of pages)

Pages 187-198

Publication milestones

  • Published - 01/01/2008

Publication status

Published - 01/01/2008

Publisher

Walter de Gruyter GmbH, Germany, Poland

ISBN (Print)

9783110203035

Publication IDs

  • handle.net: 10547/297104
  • Scopus: 84882017629

Host publication title

Models, modules and abelian groups: In memory of A.L.S. Corner

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