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Dato un gruppo algebrico risolubile, insieme con un suo campo di definizione, si dimostra che è possibile trovare certi sottogruppi di tipi importanti, p. e. tori massimi, senza introdurre alcuna inseparabilità
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References
G. D. Mostow,Factor spaces of solvable groups, « Annals of Mathematics », vol. 60 (1954).
M. Rosenlicht,Generalized jacobian varieties, « Annals of Mathematics », vol. 59 (1954).
-- --,Some basic theorems on algebraic groups, « American Journal of Mathematics », vol. 78 (1956).
-- --,Some rationality questions on algebraic groups. « Annali di matematica pura ed applicata », Series IV, vol. 43 (1957).
-- --,Extension of vector groups by abelian varieties, « American Journal of Mathematics », vol. 80 (1958).
-- --,On quotient varieties and the affine embedding of certain homogeneous spaces, « Transactions of the American Mathematical Society », vol. 101 (1961).
A. Weil,On algebraic groups of transformations, « American Journal of Mathematics », vol. 77 (1955).
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This research was supported by the Air Force Office of Scientific Research.
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Rosenlicht, M. Questions of rationality for solvable algebraic groups over nonperfect fields. Annali di Matematica 62, 97–120 (1963). https://doi.org/10.1007/BF02412850
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DOI: https://doi.org/10.1007/BF02412850