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

Authors: Gopal Prasad and Andrei S. Rapinchuk
Journal: Proc. Amer. Math. Soc. 130 (2002), 2219-2227
MSC (2000): Primary 20G15, 20G30, 22E46
Published electronically: February 7, 2002
MathSciNet review: 1896401
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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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Additional Information

Gopal Prasad
Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109

Andrei S. Rapinchuk
Affiliation: Department of Mathematics, University of Virginia, Charlottesville, Virginia 22904

Received by editor(s): March 5, 2001
Published electronically: February 7, 2002
Communicated by: Rebecca Herb
Article copyright: © Copyright 2002 American Mathematical Society

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