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16.49 (2006)

Solved

Is it true that a free product of groups without generalized torsion is a group without generalized torsion?

Contributor: V. M. Kopytov, N. Ya. Medvedev

Progress

Yes, it is true; moreover, the generalized torsion in a free product of torsion-free groups is conjugate to a generalized torsion of one of its factor groups (T. Ito, K. Motegi, M. Teragaito, Proc. Amer. Math. Soc., 147, no. 11 (2019), 4999–5008).

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