Improved $K_1$-stability for the embedding $D_5$ into $E_6$
Group Theory
2021-07-01 v1
Abstract
This paper is dedicated to the surjective stability of the -functor for Chevalley groups for the embedding into . This case was already studed by Plotkin. In the present paper, we improve his result by showing that surjective stability holds under a weaker assumption on a ring. Another result of the present paper shows how the -stability can help to study overgroups of subsystem subgroups.
Keywords
Cite
@article{arxiv.1912.09325,
title = {Improved $K_1$-stability for the embedding $D_5$ into $E_6$},
author = {Pavel Gvozdevsky},
journal= {arXiv preprint arXiv:1912.09325},
year = {2021}
}
Comments
11 pages, 4 figures, submitted to "Communications in algebra"