On a problem of H.Bass for Chevalley groups of type E_7, by Eugene Plotkin

The paper is devoted to surjective stability of K_1-functor for Chevalley groups of type E_7. This is a particular case of stability problem for Chevalley groups. In the paper surjective stability of K_1-functor is proved under natural conditions on dimension of maximal spectrum of a ring and, independently, under some special condition which is meaningful from the point of view of equations defining a Chevalley group.

Eugene Plotkin <plotkin@bimacs.cs.biu.ac.il>