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arXiv · 1508.07730

About the length of laws for finite groups

Andreas Thom
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Abstract

We prove new upper bounds 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.

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Andreas Thom. 2015-09-05. About the length of laws for finite groups. https://arxiv.org/abs/1508.07730

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