Schur multipliers of finite simple groups of Lie type

Griess, Robert L.

doi:10.1090/S0002-9947-1973-0338148-0

Schur multipliers of finite simple groups of Lie type
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by Robert L. Griess

Trans. Amer. Math. Soc. 183 (1973), 355-421

DOI: https://doi.org/10.1090/S0002-9947-1973-0338148-0

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Abstract:

This paper presents results on Schur multipliers of finite groups of Lie type. Specifically, let p denote the characteristic of the finite field over which such a group is defined. We determine the p-part of the multiplier of the Chevalley groups ${G_2}(4),{G_2}(3)$ and ${F_4}(2)$ the Steinberg variations; the Ree groups of type ${F_4}$ and the Tits simple group $^2{F_4}(2)’$.

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