@article{AFST_2002_6_11_3_403_0, author = {Claude Mitschi and Michael F. Singer}, title = {Solvable-by-finite groups as differential {Galois} groups}, journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques}, pages = {403--423}, publisher = {Universit\'e Paul Sabatier. Facult\'e des sciences}, address = {Toulouse}, volume = {Ser. 6, 11}, number = {3}, year = {2002}, zbl = {02074273}, mrnumber = {2015761}, language = {en}, url = {https://afst.centre-mersenne.org/item/AFST_2002_6_11_3_403_0/} }
TY - JOUR AU - Claude Mitschi AU - Michael F. Singer TI - Solvable-by-finite groups as differential Galois groups JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2002 SP - 403 EP - 423 VL - 11 IS - 3 PB - Université Paul Sabatier. Faculté des sciences PP - Toulouse UR - https://afst.centre-mersenne.org/item/AFST_2002_6_11_3_403_0/ LA - en ID - AFST_2002_6_11_3_403_0 ER -
%0 Journal Article %A Claude Mitschi %A Michael F. Singer %T Solvable-by-finite groups as differential Galois groups %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2002 %P 403-423 %V 11 %N 3 %I Université Paul Sabatier. Faculté des sciences %C Toulouse %U https://afst.centre-mersenne.org/item/AFST_2002_6_11_3_403_0/ %G en %F AFST_2002_6_11_3_403_0
Claude Mitschi; Michael F. Singer. Solvable-by-finite groups as differential Galois groups. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 11 (2002) no. 3, pp. 403-423. https://afst.centre-mersenne.org/item/AFST_2002_6_11_3_403_0/
[1] Review of "Lectures on differential Galois theory" by A. Magid, Bull. AMS, 33 (1996), 289-294. Springer Verlag, 1991. | MR
). -[2] Linear Algebraic Groups, second edition, Springer Verlag, 1991. | MR | Zbl
). -[3] Théorèmes de finitude en cohomologie galoisienne, Comment. Math. Helv., 39 (1964-1965), 111-164. | MR | Zbl
), ). -[4] Théorie des groupes de Lie, Vol.II, Groupes algébriques, Hermann, Paris, 1951. | MR | Zbl
). -[5] Catégories tannakiennes, The Grothendieck Festschrift 2, p. 111-195, Progress in Math., 87 (1990), Birkhäuser. | MR | Zbl
). -[6] On the Inverse Problem in Differential Galois Theory, Preprint, Universität Heidelberg, 2002.
). -[7] Basic Theory of Algebraic Groups and Lie Algebras, Graduate Texts in Mathematics, 75, Springer-Verlag, 1981. | MR | Zbl
). -[8] Differential Algebra and Algebraic Groups, Academic Press, 1976. | MR | Zbl
). -[9] Algebraic groups and algebraic dependence, Amer. J. Math., 90 (1968), 1151-1164. | MR | Zbl
). -[10] The Inverse Problem in the Galois Theory of Differential Fields, Annals of Mathematics, 89 (1969), 583-608. | MR | Zbl
). -[11] On the Inverse Problem in the Galois Theory of Differential Fields, Annals of Mathematics, 93 (1971), 269-284. | MR | Zbl
). -[12] Algebra, Third Edition, Addison-Wesley, 1993. | Zbl
). -[13] Lectures on Differential Galois theory, University Lecture Series, American Mathematical Society, Second edition, 1994. | MR | Zbl
). -[14] Connected Linear Groups as Differential Galois Groups, Journal of Algebra, 184 (1996), 333-361. | MR | Zbl
), ). -[15] Galois Theory of differential equations, algebraic groups and Lie algebras, Journal of Symbolic Computation, 28 (1999), 441-472. | MR | Zbl
). -[16] Recent work in differential Galois theory, Séminaire Bourbaki, volume 1997/98 (exposé 849), Astérisque, Société Mathématique de France, Paris, 1998. | Numdam | MR | Zbl
). -[17] Galois Theory of Differential Equations, to appear.
), ).-[18] Differential Algebra, Am. Math. Soc. Coll. Pub., Vol. 33, Am. Math.Soc., 1950. | MR | Zbl
). -[19] About the Inverse Problem in Differential Galois Theory: the Differential Abhyankar Conjecture, unpublished manuscript, 1996. | MR
). -[20] About the inverse problem in differential Galois theory: the differential Abhyankar conjecture, in The Stokes phenomenon and Hilbert's 16th Problem, World Scientific Publ. (Editors B.L.J. Braaksma, G.K. Immink, M. van der Put), Singapore 1996. | MR | Zbl
). -[21] Cohomologie Galoisienne, cinquième édition, Lecture Notes in Mathematics, 5, Springer-Verlag, 1994. | MR | Zbl
).-[22] Moduli of linear differential equations on the Riemann sphere with fixed Galois groups, Pacific J. Math., 106, No. 2 (1993), 343-395. | MR | Zbl
). -[23] Solution of the inverse problem of differential Galois theory in the classical case, Amer. J. Math., 1979, 1327-1332. | MR | Zbl
), ). -[24] Groups as Galois Groups, Cambridge Studies in Advanced Mathematics, Vol. 53, Cambridge University Press, 1996. | MR | Zbl
). -[25] Infinite Linear Groups, Springer-Verlag, 1973. | Zbl
). -