In this paper, we investigate some aspects of representation theory of reductive groups over non-algebraically closed fields. Namely, we state and prove relative versions of a well-known theorem of Bogomolov and derive from it as consequence, a relative version of a theorem of Sukhanov, which are related to observable subgroups of linear algebraic groups over non-algebraically closed perfect fields. © 2010 Elsevier Inc.

Bac D.P., Thang N.Q.

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