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On Nilpotent Groups of Algebra Automorphisms

Published online by Cambridge University Press:  22 January 2016

G. Leger  and
E. Luks
G. Leger
Affiliation:
Tufts University
E. Luks
Affiliation:
Bucknell University
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The main purpose of this paper is to derive conclusions about the structure of a nilpotent group of algebra automorphisms and, in the case of a Lie algebra, about the influence of this nilpotence on the structure of the algebra. A motivation for this study is a well known theorem due to Kolchin: A unipotent linear group can be triangularized and is thus nilpotent. The converse is manifestly false, but we have (as an immediate consequence of Theorem 2.7):

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 46 , March 1972 , pp. 87 - 95
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1972

References

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