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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

A geometry for $ E\sb{7}$


Author: John R. Faulkner
Journal: Trans. Amer. Math. Soc. 167 (1972), 49-58
MSC: Primary 50D30; Secondary 20H15
MathSciNet review: 0295205
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Abstract: A geometry is defined by the 56-dimensional representation $ \mathfrak{M}$ of a Lie algebra of type $ {E_7}$. Every collineation is shown to be induced by a semisimilarity of $ \mathfrak{M}$, and the image of the automorphism group of $ \mathfrak{M}$ in the collineation group is shown to be simple.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1972-0295205-4
PII: S 0002-9947(1972)0295205-4
Keywords: Geometry, collineations, semisimilarities, automorphism group, simple group
Article copyright: © Copyright 1972 American Mathematical Society