Uniformization and the diversity of Whitehead groups

P. C. Eklof; A. H. Mekler; S. Shelah

doi:10.1007/BF02808073

Uniformization and the diversity of Whitehead groups

P. C. Eklof^*
, A. H. Mekler
, S. Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

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

22 Scopus citations

Abstract

Techniques of uniformization are used to prove that it is not consistent that the Whitehead groups of cardinality א₁ are exactly the strongly א₁-free groups. Some consequences of the assumption that every strongly א₁-free group of cardinality א₁ is Whitehead are derived. Other results about uniformization are also proved.

Original language	English
Pages (from-to)	301-321
Number of pages	21
Journal	Israel Journal of Mathematics
Volume	80
Issue number	3
DOIs	https://doi.org/10.1007/BF02808073
State	Published - Oct 1992

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10.1007/BF02808073

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abstract = "Techniques of uniformization are used to prove that it is not consistent that the Whitehead groups of cardinality א1 are exactly the strongly א1-free groups. Some consequences of the assumption that every strongly א1-free group of cardinality א1 is Whitehead are derived. Other results about uniformization are also proved.",

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AB - Techniques of uniformization are used to prove that it is not consistent that the Whitehead groups of cardinality א1 are exactly the strongly א1-free groups. Some consequences of the assumption that every strongly א1-free group of cardinality א1 is Whitehead are derived. Other results about uniformization are also proved.

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Uniformization and the diversity of Whitehead groups

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