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摘要
We prove new upper bounds of the form O(n/log(n)(2-epsilon)) for the length of laws that hold for all groups of size at most n - improving on previous results of Bou-Rabee and Kassabov-Matucci. The methods make use of the classification of finite simple groups. Stronger bounds are proved in case the groups are assumed to be nilpotent or solvable.
- 出版日期2017-4
