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

Eugene Plotkin

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29 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 languageEnglish
Pages (from-to)67-85
Number of pages19
JournalJournal of Algebra
Volume210
Issue number1
DOIs
StatePublished - 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.

Keywords

  • Chevalley groups;K-functor; surjective stability

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