Abstract

Abstract. In this article we extend the result of Guralnick, Kantor, Kassabov and Lubotzky to the affine Kac–Moody groups: we show that there exists a constant such that every affine Kac–Moody group defined over a finite field , (with the exception of and ), has a presentation σ with . We then derive the consequences of this result for the 2-spherical Kac–Moody groups.

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