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arXiv · 2201.04525

Groups of small period growth

Jan Moritz Petschick
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Abstract

We construct finitely generated groups of small period growth, i.e. groups where the maximum order of an element of word length $n$ grows very slowly in $n$. This answers a question of Bradford related to the lawlessness growth of groups and is connected to an approximative version of the restricted Burnside problem.

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Jan Moritz Petschick. 2022-01-12. Groups of small period growth. https://arxiv.org/abs/2201.04525

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