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
Famous quotes containing the words whitehead and/or problem:
“Knowledge shrinks as wisdom grows.”
—Alfred North Whitehead (18611947)
“The problem of the twentieth century is the problem of the color-linethe relation of the darker to the lighter races of men in Asia and Africa, in America and the islands of the sea. It was a phase of this problem that caused the Civil War.”
—W.E.B. (William Edward Burghardt)
Related Phrases
Related Words