In mathematics, in the field of group theory, the Baer–Specker group, or Specker group, named after Reinhold Baer and Ernst Specker, is an example of an infinite Abelian group which is a building block in the structure theory of such groups.
The group of homomorphisms from the Baer–Specker group to a free abelian group of finite rank is a free abelian group of countable rank. This provides another proof that the group is not free.
- Baer, Reinhold (1937). "Abelian groups without elements of finite order". Duke Mathematical Journal 3 (1): 68–122. doi:10.1215/S0012-7094-37-00308-9. MR 1545974.
- Specker, Ernst (1950). "Additive Gruppen von Folgen ganzer Zahlen". Portugaliae Math. 9: 131–140. MR 0039719.
- Phillip A. Griffith (1970). Infinite Abelian group theory. Chicago Lectures in Mathematics. University of Chicago Press. pp. 1, 111–112. ISBN 0-226-30870-7.
- Stefan Schröer, Baer's Result: The Infinite Product of the Integers Has No Basis
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