Groups of small period growth

2022/01/12 by Petschick, Jan Moritz
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2201.04525

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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