Writing Commutators of Commutators as Products of Cubes

COMMUNICATIONS IN ALGEBRA（2015）

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摘要

It is known that commutators of commutators can be written as products of cubes, with the current upper bound on the number of cubes being 60. We discuss how proofs extracted via coset enumeration can be used to investigate this problem, and exhibit a rewriting using only 14 cubes.

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关键词

Commutator of commutators, extended symmetric group, product of cubes

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