Groups of small period growth
Group Theory
2022-01-13 v1
Abstract
We construct finitely generated groups of small period growth, i.e. groups where the maximum order of an element of word length grows very slowly in . 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.
Cite
@article{arxiv.2201.04525,
title = {Groups of small period growth},
author = {Jan Moritz Petschick},
journal= {arXiv preprint arXiv:2201.04525},
year = {2022}
}
Comments
14 pages, 1 figure. Comments welcome!