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18.57 (2014)

Solved

Let $G$ be a finite 2-group generated by involutions in which $[x, u, u] = 1$ for every $x \in G$ and every involution $u \in G$. Is the derived length of $G$ bounded?

Contributor: D. V. Lytkina

Progress

No, it is not (A. Abdollahi, J. Group Theory, 18, no. 1 (2015), 111–114).

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