Titlebook: Linear Algebraic Groups; James E. Humphreys Textbook 1975 Springer-Verlag New York Inc. 1975 Algebraic.Algebraische Gruppe.Group theory.Li

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Solvable Groups, turn out to be . (17.2). To prove this we need a purely group-theoretic fact, which is developed in (17.1) to avoid a later interruption. In (17.5) and (17.6) we shall see to what extent a solvable linear group can be put in triangular form. The result of (17.5) is essential later on, while that of

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Survey of Rationality Properties,, K denotes an algebraically closed field. If k is an arbitrary subfield of K, we are interested in the closed subgroups of GL(., K) which are defined by polynomials with coefficients in k. Some general theory is developed in §34, to be followed by a discussion of special fields (finite, real, p-adi

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