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18.58 (2014)

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Let $G$ be a group generated by finite number $n$ of involutions in which $(uv)^4 = 1$ for all involutions $u, v \in G$. Is it true that $G$ is finite? is a 2-group? This is true for $n \leqslant 3$.

Contributor: D. V. Lytkina

Progress

Editors’ comment of 2021: the previously published claim of an affirmative solution of this problem proved to be erroneous.

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