Infinite abelian groups, whitehead problem and some constructions

Saharon Shelah

doi:10.1007/BF02757281

Infinite abelian groups, whitehead problem and some constructions

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

171 Scopus citations

Abstract

We solve here some problems from Fuchs' book. We show that the answer to Whitehead's problem (for groups of power א₁) is independent from the usual axioms of set theory. We prove the existence of large rigid systems for groups of power λ, with no restriction on λ. We also prove that there are many non-isomorphic reduced separable p-groups.

Original language	English
Pages (from-to)	243-256
Number of pages	14
Journal	Israel Journal of Mathematics
Volume	18
Issue number	3
DOIs	https://doi.org/10.1007/BF02757281
State	Published - Sep 1974

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Infinite abelian groups, whitehead problem and some constructions

Abstract

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