Abstract
This paper is devoted to the study of the surjective stability of theK1-functor for Chevalley groups of type E7. This is a particular case of the stability problem for Chevalley groups, which was posed by H. Bass. In this paper, surjective stability of theK1-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.
| Original language | English |
|---|---|
| Pages (from-to) | 67-85 |
| Number of pages | 19 |
| Journal | Journal of Algebra |
| Volume | 210 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Dec 1998 |
Bibliographical note
Funding Information:* The author gratefully acknowledges the support of the Israel Science Foundation and the Minerva Foundation through the Emmy Noether Institute during the preparation of the present article.
Funding
* The author gratefully acknowledges the support of the Israel Science Foundation and the Minerva Foundation through the Emmy Noether Institute during the preparation of the present article.
| Funders | Funder number |
|---|---|
| Emmy Noether Research Institute for Mathematics | |
| Minerva Foundation | |
| Israel Science Foundation |
Keywords
- Chevalley groups;K-functor; surjective stability