SEMISIMPLE ALGEBRAIC GROUPS WHICH ARE SPLIT OVER A QUADRATIC EXTENSION

B J Veĭsfeĭler · Mathematics of the USSR-Izvestiya · 1971

We consider algebraic groups defined over a field k and containing a maximal torus T which is defined and anisotropic over k and split over a given quadratic extension K of k. We study certain structural features of such groups, and the results obtained are used to investigate the behavior of these groups over special fields.

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