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Writing commutators of commutators as products of cubes

Writing commutators of commutators as products of cubes

It is known that commutators of commutators can be expressed as products of cubes, with an upper bound on the number of cubes of 60. We exhibit a rewriting using only 14 cubes, and a shorter rewriting with an intriguing structure using 15 cubes. These results engender a bound of …