On the Stability of theK1-Functor for Chevalley Groups of Type E7

Eugene Plotkin

doi:10.1006/jabr.1998.7535

On the Stability of theK₁-Functor for Chevalley Groups of Type E₇

Eugene Plotkin

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

31 Scopus citations

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	https://doi.org/10.1006/jabr.1998.7535
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
Emmy Noether Research Institute for Mathematics
Minerva Foundation
Israel Science Foundation

Keywords

Chevalley groups;K-functor; surjective stability

Access to Document

10.1006/jabr.1998.7535

Cite this

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