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

Author(s): Gopal Prasad; Andrei S. Rapinchuk
Journal: Proc. Amer. Math. Soc. 130 (2002), 2219-2227.
MSC (2000): Primary 20G15, 20G30, 22E46
Posted: February 7, 2002
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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
Email: gprasad@math.lsa.umich.edu

Andrei S. Rapinchuk
Affiliation: Department of Mathematics, University of Virginia, Charlottesville, Virginia 22904
Email: asr3x@weyl.math.virginia.edu

DOI: 10.1090/S0002-9939-02-06514-0
PII: S 0002-9939(02)06514-0
Received by editor(s): March 5, 2001
Posted: February 7, 2002
Communicated by: Rebecca Herb
Copyright of article: Copyright 2002, American Mathematical Society

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