About the length of laws for finite groups
Group Theory
2015-09-08 v2
Abstract
We prove new upper bounds for the length of laws that hold for all groups of size at most -- 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.
Keywords
Cite
@article{arxiv.1508.07730,
title = {About the length of laws for finite groups},
author = {Andreas Thom},
journal= {arXiv preprint arXiv:1508.07730},
year = {2015}
}
Comments
8 pages, no figures; v2 more details, typos corrected, references added