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16.94 (2006)

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If $G = [G, G]$, then the commutator width of the group $G$ is its width relative to the set of commutators. Let $V$ be an infinite-dimensional vector space over a division ring. It is known that the commutator width of $\text{GL}(V)$ is finite. Is it true that the commutator width of $\text{GL}(V)$ is one?

Contributor: V. Tolstykh

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