On the stability of the K1-functor for Chevalley groups of type E7

[摘要] This paper is devoted to the study of the surjective stability of the K-1-functor for Chevalley groups of type E-7. This is a particular case of the stability problem for Chevalley groups, which was posed by H. Bass. In this paper, surjective stability of the K-1-functor is proved under natural conditions on the dimension of the maximal spectrum of a ring and, independently, under a special condition which is meaningful from the point of view of equations defining a Chevalley group. (C) 1998 Academic Press.

[发布日期] 1998-12-01

[关键词] Chevalley groups;K-1-functor;surjective stability