Geodesic
Invariance theorems and algebraic groups with an almost-regular automorphism
Izvestiya. Mathematics , Tome 1 (1967) no. 3, pp. 667-675.

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We solve the problem of the solvability of a connected algebraic group, over an arbitrary field, which has an almost-regular automorphism. The results are used to prove existence theorems for invariant maximal tori and unipotent subgroups. 
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V. P. Platonov. Invariance theorems and algebraic groups with an almost-regular automorphism. Izvestiya. Mathematics , Tome 1 (1967) no. 3, pp. 667-675. http://geodesic.mathdoc.fr/item/IM2_1967_1_3_a8/

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