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7.7 (1980)

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Is the group $G = \langle a, b \mid a^9 = 1, ab = b^2 a^2 \rangle$ finite? This group contains $F(2, 9)$, the only Fibonacci group for which it is not yet known whether it is finite or infinite.

Contributor: R. G. Burns

Progress

No, it is infinite, since $F(2, 9)$ is infinite (M. F. Newman, Arch. Math., 54, no. 3 (1990), 209–212).

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