The special linear group $\text{SL}_n(\mathbb{R})$ is its own commutator

reference-request group-theory

Note that this makes $SL_n(\mathbb{R})$ what's called a perfect group: https://en.wikipedia.org/wiki/Perfect_group

A proof of this fact can be found at GroupProps: https://groupprops.subwiki.org/wiki/Special_linear_group_is_perfect

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