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14.20 (1999)

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Does a free product of two groups have the Noetherian Equation Property (see 14.19) if this property is enjoyed by the factors?

Contributor: G. Baumslag, A. G. Myasnikov, V. N. Remeslennikov

Progress

Editors' comment: Yes, it does (Z. Sela, Preprint, 2010, https://arxiv.org/abs/1012.0044). Note also that a free product of arbitrarily many equationally Noetherian groups need not be equationally Noetherian (D. Groves, M. Hull, Trans. Amer. Math. Soc., 372 (2019), 7141–7190).

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