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Non-Local Lie Primitive Subgroups of Lie Groups

Published online by Cambridge University Press:  20 November 2018

Arjeh M. Cohen  and
Robert L. Griess Jr.
Arjeh M. Cohen
Affiliation:
Centre for Mathematics and Computer Science, Kruislaan 413, 1098 SJ Amsterdam
Robert L. Griess Jr.
Affiliation:
Department of Mathematics, University of Michigan, Angell Hall, Ann Arbor, MI 48104
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Abstract

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Borovik found a Lie primitive subgroup of E8(ℂ) isomorphic to (Alt5 × Sym6) : 2. In this note, we provide a short proof of existence and his result that the conjugacy class of this subgroup is the only one among those of non-local Lie primitive subgroups of finite dimensional simple complex Lie groups having a socle with more than one simple factor.

Keywords

22E2022E46
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 45 , Issue 1 , 01 February 1993 , pp. 88 - 103
Copyright
Copyright © Canadian Mathematical Society 1993

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