Abstract
This article is dedicated to the surjective stability of the K1-functor for Chevalley groups for the embedding D5 into E6. This case was already studied by Plotkin. In this article, we improve his result by showing that surjective stability holds under a weaker assumption on a ring. Another result of this article shows how the K1-stability can help to study overgroups of subsystem subgroups.
2010 Mathematics Subject Classification:
Acknowledgment
I am very grateful to my advisor Nikolai Vavilov for the careful reading of this article and making important remarks and corrections.