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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

The $27$-dimensional module for $E_ 6$. III


Author: Michael Aschbacher
Journal: Trans. Amer. Math. Soc. 321 (1990), 45-84
MSC: Primary 20F29; Secondary 20E15
DOI: https://doi.org/10.1090/S0002-9947-1990-0986684-6
MathSciNet review: 986684
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Abstract: This is the third in a series of five papers investigating the subgroup structure of the universal Chevalley group $G = {E_6}(F)$ of type ${E_6}$ over a field $F$ and the geometry induced on the $27$-dimensional $FG$-module $V$ by the symmetric trilinear form $f$ preserved by $G$. The series uses the geometry on $V$ to describe and enumerate (up to a small list of ambiguities) all closed maximal subgroups of $G$ when $F$ is finite or algebraically closed.


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Article copyright: © Copyright 1990 American Mathematical Society