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13.18 (1995)

Solved

Let $F$ be a finitely generated non-Abelian free group and let $G$ be the Cartesian (unrestricted) product of countable infinity of copies of $F$. Must the Abelianization $G/G'$ of $G$ be torsion-free?

Contributor: A. M. Gaglione, D. Spellman

Progress

No, it may contain elements of order 2 (O. Kharlampovich, A. Myasnikov, in: Knots, braids, and mapping class groups— papers dedicated to Joan S. Birman (New York, 1998), Amer. Math. Soc., Providence, RI, 2001, 77–83).

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