On the structure of Extp(G, Z)

Rami Grossberg; Saharon Shelah

doi:10.1016/0021-8693(89)90088-4

On the structure of Ext_p(G, Z)

Rami Grossberg^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Abstract

We will prove a theorem on the cardinality of inverse limits of systems of groups. The following is an instance of the theorem:. Theorem. Let λ be a strong limit cardinal of cofinality א₀. For every torsion free abelian group G of cardinality λ and a prime p |Ext_p(G,Z)| < λ or |Ext_p(G,Z)|=2^λ. We made an effort to make this paper readable also by non-logicians.

Original language	English
Pages (from-to)	117-128
Number of pages	12
Journal	Journal of Algebra
Volume	121
Issue number	1
DOIs	https://doi.org/10.1016/0021-8693(89)90088-4
State	Published - 15 Feb 1989

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abstract = "We will prove a theorem on the cardinality of inverse limits of systems of groups. The following is an instance of the theorem:. Theorem. Let λ be a strong limit cardinal of cofinality א0. For every torsion free abelian group G of cardinality λ and a prime p |Extp(G,Z)| < λ or |Extp(G,Z)|=2λ. We made an effort to make this paper readable also by non-logicians.",

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On the structure of Ext_p(G, Z)

Abstract

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