Whitehead Problem

The Whitehead Problem is a fundamental question in abelian group theory that asks whether every abelian group \( A \) satisfying \( \text{Ext}(A, \mathbb{Z}) = 0 \) must be free, thereby exemplifying a prototypical independence result in mathematical logic due to its undecidability in Zermelo-Fraenkel set theory with the Axiom of Choice.

170

Publications

6.3K

Citations

211

Authors

124

Institutions

Publications per year

2017–2026

8

Authors

211

  1. SS
    Saharon Shelah

    Hebrew University of Jerusalem, Israel

    9 publications · 724 citations

    9

    h-index

  2. PC
    Paul C. Eklof

    University of California, Irvine, United States

    6 publications · 165 citations

    6

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  3. FT
    F. T. Farrell

    Binghamton University, United States

    5 publications · 184 citations

    5

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  4. MF
    Michael Färber

    Tel Aviv University, Israel

    3 publications · 64 citations

    3

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  5. DA
    David A. Edwards

    Emory University, United States

    3 publications · 50 citations

    3

    h-index

1–5 of 211

Venues

  1. Topology

    9 publications · 361 citations

    9

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  2. Fundamenta Mathematicae

    7 publications · 179 citations

    7

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  3. Transactions of the American Mathematical Society

    TRAN · 7 publications · 189 citations

    7

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  4. Pacific Journal of Mathematics

    6 publications · 308 citations

    6

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  5. Bulletin of the American Mathematical Society

    5 publications · 565 citations

    5

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1–5