Generating adjoint groups
Rings and Algebras
2018-10-02 v2
Abstract
We prove two approximations of the open problem of whether the adjoint group of a non-nilpotent nil ring can be finitely generated: We show that the adjoint group of a non-nilpotent Jacobson radical cannot be boundedly generated, and on the other hand construct a finitely generated, infinite dimensional nil algebra whose adjoint group is generated by elements of bounded torsion.
Cite
@article{arxiv.1805.07664,
title = {Generating adjoint groups},
author = {Be'eri Greenfeld},
journal= {arXiv preprint arXiv:1805.07664},
year = {2018}
}
Comments
To appear in Proceedings of the Edinburgh Mathematical Society