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Communications in Algebra Volume 29, 2001 - Issue 12
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Original Articles

FREE SUBGROUPS OF THE BAER-SPECKER GROUP

Andreas Blass Mathematics Department, University of Michigan, Ann Arbor, MI, 48109–1109, U.S.A.
&
John Irwin
Pages 5769-5794 | Received 01 Jun 2000, Published online: 16 Aug 2006
 
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Abstract

The Baer-Specker group Π = Z ℵ0 is the product of countably many copies of the additive group of integers. We are concerned with subgroups of Π that are free abelian groups. Among the issues we consider are testing freeness of a subgroup by means of its intersections with other specified subgroups, the relationship between freeness and other “smallness” properties, and constraints on the location of free subgroups within Π.

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