The linearity problem for the unitriangular automorphism groups of free groups
Group Theory
2020-10-19 v1
Abstract
We prove that the unitriangular automorphism group of a free group of rank has a faithful representation by matrices over a field, or in other words, it is a linear group, if and only if Thus, we have completed a description of relatively free groups with linear the unitriangular automorphism groups. This description was initiated by Erofeev and the author in \cite{Erofeev}, where proper varieties of groups have been considered.
Cite
@article{arxiv.1309.2897,
title = {The linearity problem for the unitriangular automorphism groups of free groups},
author = {V. Roman'kov},
journal= {arXiv preprint arXiv:1309.2897},
year = {2020}
}