Standard 3-components of type 𝑆𝑝(6,2)

Finkelstein, Larry; Frohardt, Daniel

doi:10.1090/S0002-9947-1981-0613786-0

Standard $3$-components of type $\textrm {Sp}(6, 2)$
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Trans. Amer. Math. Soc. 266 (1981), 71-92 Request permission

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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