Subnormal subgroups of the groups of rational points of reductive algebraic groups

Prasad, Gopal; Rapinchuk, Andrei

doi:10.1090/S0002-9939-02-06514-0

Subnormal subgroups of the groups of rational points of reductive algebraic groups
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by Gopal Prasad and Andrei S. Rapinchuk PDF

Proc. Amer. Math. Soc. 130 (2002), 2219-2227 Request permission

Abstract:

We prove that for a reductive algebraic group $G$ over an infinite field $K,$ the group of rational points $G(K)$ does not contain any noncentral finitely generated normal subgroups.

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