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New Criteria for Freeness in Abelian Groups

A new criterion is established for an abelian group to be free. The criterion applies to an ascending chain of free subgroups. The result is used to construct groups that are almost free but not free. In particular, we construct examples that show that the class of free abelian groups is not... Full description

1st Person: Hill, Paul
Source: in Transactions of the American Mathematical Society Vol. 182 (1973), p. 201-209
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Type of Publication: Article
Language: English
Published: 1973
Keywords: research-article
Online: Volltext
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