On the p-rank of Ext

Alan Mekler; Andrzej Rosłanowski; Saharon Shelah

doi:10.1007/bf02773487

On the p-rank of Ext

Alan Mekler
, Andrzej Rosłanowski
, Saharon Shelah

Einstein Institute of Mathematics

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

25 Scopus citations

Abstract

Assume V = L and λ is regular smaller than the first weakly compact cardinal. Under those circumstances and with arbitrary requirements on the structure of Ext (G, ℤ) (under well known limitations), we construct an abelian group G of cardinality λ such that for no G′ ⊆ G, |G′| < λ is G/G′ free and Ext (G, ℤ) realizes our requirements.

Original language	English
Pages (from-to)	327-356
Number of pages	30
Journal	Israel Journal of Mathematics
Volume	112
DOIs	https://doi.org/10.1007/bf02773487
State	Published - 1999

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abstract = "Assume V = L and λ is regular smaller than the first weakly compact cardinal. Under those circumstances and with arbitrary requirements on the structure of Ext (G, ℤ) (under well known limitations), we construct an abelian group G of cardinality λ such that for no G′ ⊆ G, |G′| < λ is G/G′ free and Ext (G, ℤ) realizes our requirements.",

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AB - Assume V = L and λ is regular smaller than the first weakly compact cardinal. Under those circumstances and with arbitrary requirements on the structure of Ext (G, ℤ) (under well known limitations), we construct an abelian group G of cardinality λ such that for no G′ ⊆ G, |G′| < λ is G/G′ free and Ext (G, ℤ) realizes our requirements.

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JO - Israel Journal of Mathematics

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On the p-rank of Ext

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