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4.1 (1973)

Solved

Find an infinite finitely generated group with an identical relation of the form $x^{2^n} = 1$.

Contributor: S. I. Adian

Progress

It has been found (S. V. Ivanov, Int. J. Algebra Comput., 4, no. 1–2 (1994), 1–308; I. G. Lysënok, Izv. Math., 60, no. 3 (1996), 453–654).

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