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

 

Standard $ 3$-components of type $ {\rm Sp}(6,\,2)$


Authors: Larry Finkelstein and Daniel Frohardt
Journal: Trans. Amer. Math. Soc. 266 (1981), 71-92
MSC: Primary 20D05
MathSciNet review: 613786
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Abstract: It is shown that if $ G$ is a finite simple group with a standard $ 3$-component of type $ {\text{Sp}}(6,2)$ and $ G$ satisfies certain $ 2$-local and $ 3$-local conditions then either $ G$ is isomorphic to $ {\text{Sp}}(8,2)$ or $ G$ is isomorphic to $ {F_4}(2)$.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1981-0613786-0
PII: S 0002-9947(1981)0613786-0
Article copyright: © Copyright 1981 American Mathematical Society