Non-linear, solvable, residually $p$ groups
Group Theory
2023-09-26 v1
Abstract
In 2005, Borisov and Sapir proved that ascending HNN extensions of finitely generated linear groups are residually finite. Subsequently, Dru\c{t}u and Sapir noted the existence of finitely generated non-linear residually finite groups based on the work of Borisov and Sapir. In 2017, Kharlampovich, Myasnikov and Sapir showed that there exist finitely generated non-linear solvable residually finite groups. In this paper, we construct the first examples of finitely generated non-linear solvable residually 2 groups.
Keywords
Cite
@article{arxiv.2309.13389,
title = {Non-linear, solvable, residually $p$ groups},
author = {Donsung Lee},
journal= {arXiv preprint arXiv:2309.13389},
year = {2023}
}
Comments
25 pages