The theorems on freedom for relatively free Lie algebras and groups with a single relation
Group Theory
2021-07-27 v2
Abstract
In this paper we prove the theorem on freedom for relatively free groups with a single relation (analogous with the well-known result of Magnus) and the theorem on freedom for relatively free Lie algebras with a single relation (analogous with the well-known result of Shirshov).
Keywords
Cite
@article{arxiv.2101.05648,
title = {The theorems on freedom for relatively free Lie algebras and groups with a single relation},
author = {Alexander Krasnikov},
journal= {arXiv preprint arXiv:2101.05648},
year = {2021}
}
Comments
26 pages, in Russian