Improved K1-stability for the embedding D5 into E6
Abstract
This paper is dedicated to the surjective stability of the K1-functor for Chevalley groups for the embedding D5 into E6. 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 K1-stability can help to study overgroups of subsystem subgroups.
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