On the geometry of free nilpotent groups
Group Theory
2021-06-02 v1
Abstract
In this article, we study geometric properties of nilpotent groups. We find a geometric criterion for the word problem for the finitely generated free nilpotent groups. By geometric criterion, we mean a way to determine whether two words represent the same element in a free nilpotent group of rank and class by analyzing their behavior on the Cayley graph of the free nilpotent group of rank and class .
Cite
@article{arxiv.2106.00095,
title = {On the geometry of free nilpotent groups},
author = {Ruslan Magdiev and Artem Semidetnov},
journal= {arXiv preprint arXiv:2106.00095},
year = {2021}
}