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.References
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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
- MR Author ID: 206801
- Email: asr3x@weyl.math.virginia.edu
- Received by editor(s): March 5, 2001
- Published electronically: February 7, 2002
- Communicated by: Rebecca Herb
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 2219-2227
- MSC (2000): Primary 20G15, 20G30, 22E46
- DOI: https://doi.org/10.1090/S0002-9939-02-06514-0
- MathSciNet review: 1896401