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20.50 (2022)

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For a positive integer $m$, let $G_m$ be the largest group generated by $m$ involutions such that $(xy)^4 = 1$ for any two involutions $x, y \in G_m$. What is the order of $G_4$?

It is known that the order of $G_3$ is equal to $2^{11}$. Also cf. 18.58.

Contributor: D. V. Lytkina

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