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

Gopal Prasad, Andrei S. Rapinchuk

Type: Article

Publication Date: 2002-02-07

Citations: 9

DOI: https://doi.org/10.1090/s0002-9939-02-06514-0

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.

Locations

Proceedings of the American Mathematical Society - View - PDF

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+	Linear algebraic groups	1966	Armand Borel
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+ PDF Chat	Rationality properties of linear algebraic groups, II	1968	Armand Borel T. A. Springer
+	On algebraic group varieties.	1954	Catherine Chevalley
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+	Maximal Subgroups of GL1(D)	1999	Saieed Akbari M. Mahdavi-Hezavehi M.G. Mahmudi