In group theory, a branch of abstract algebra, the Whitehead problem is the following question:
- Is every abelian group A with Ext1(A, Z) = 0 a free abelian group?
Shelah (1974) proved that Whitehead's problem is undecidable within standard ZFC set theory.
Read more about Whitehead Problem: Refinement, Shelah's Proof, Discussion
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