Literature cited
E. R. Kolchin, "Algebraic groups and algebraic dependence," Amer. J. Math.,90, No. 4, 1151–1164 (1968).
J. Kovacic, "The inverse problem in the Galois theory of differential fields," Annals of Math.,89, No. 3, 583–608 (1969).
C. H. Franke, "Picard-Vessiot theory of linear homogeneous difference equations," Trans. Amer. Math. Soc.,108, No. 3, 491–515 (1963).
I. Kaplansky, Introduction to Differential Algebra [Russian translation], IL (1959).
R. N. Cohn, Difference Algebra, Interscience (1965).
A. Borel, "Groupes linéaires algébriques," Ann. of Math., 64, 20–82 (1956).
C. H. Franke, "A note on the Galois theory of linear homogeneous difference equations," Proc. Amer. Math. Soc.,18, No. 3, 548–551 (1967).
Additional information
Translated from Algebra i Logika, Vol. 11, No. 1, pp. 87–118, January–February, 1972.
Rights and permissions
About this article
Cite this article
Pankrat'ev, E.V. The inverse Galois problem of extensions of difference fields. Algebr Logic 11, 51–69 (1972). https://doi.org/10.1007/BF02218585
Issue Date:
DOI: https://doi.org/10.1007/BF02218585