Nɴ-free abelian group with no non-zero homomorphism to ℤ

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Abstract

We, far any natural ð‘›, construct an Nð‘›-free abelian groups which have few homomorphisms to ℤ. For this we use "Nð‘›-free (ð‘› + 1)-dimensional black boxes". The method is hopefully relevant to other constructions of Nð‘›-free abelian groups.

Keywords

Abelian groups , freeness , few homomorphism , set theory , black box
  • Saharon Shelah The Hebrew University of Jerusalem, Einstein Institute of Mathematics Edmond J. Safra Campus, Givat Ram Jerusalem 91904, Israel.
  • Pages: 59-79
  • Date Published: 2007-08-01
  • Vol. 9 No. 2 (2007): CUBO, A Mathematical Journal

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Published

2007-08-01

How to Cite

[1]
S. Shelah, “NÉ´-free abelian group with no non-zero homomorphism to ℤ”, CUBO, vol. 9, no. 2, pp. 59–79, Aug. 2007.

Issue

Vol. 9 No. 2 (2007): CUBO, A Mathematical Journal

Section

Articles