✦ LIBER ✦

Transitivity of the Galois group of linear differential equations

✍ Scribed by N. V. Grigorenko

Publisher: SP MAIK Nauka/Interperiodica
Year: 1983
Tongue: English
Weight: 171 KB
Volume: 34
Category: Article
ISSN: 0001-4346
DOI: 10.1007/bf01157388

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Galois Groups of Second and Third Order

Galois Groups of Second and Third Order Linear Differential Equations

✍ Michael F. Singer; Felix Ulmer 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 924 KB

Using the representation theory of groups, we are able to give simple necessary and sufficient conditions regarding the structure of the Galois groups of second and third order linear differential equations. These allow us to give simple necessary and sufficient conditions for a second order linear

Computing Galois Groups of Completely Re

Computing Galois Groups of Completely Reducible Differential Equations

✍ Elie Compoint; Michael F Singer 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 449 KB

We give an algorithm to calculate a presentation of the Picard-Vessiot extension associated to a completely reducible linear differential equation (i.e. an equation whose Galois group is reductive). Using this, we show how to compute the Galois group of such an equation as well as properties of the

Galois Theory of Differential Equations,

Galois Theory of Differential Equations, Algebraic Groups and Lie Algebras

✍ Marius van der Put 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 499 KB

An Algorithm Determining the Difference

An Algorithm Determining the Difference Galois Group of Second Order Linear Difference Equations

✍ P.A. Hendricks 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 539 KB

Group actions on the solutions of linear

Group actions on the solutions of linear partial differential equations

✍ Walter Schempp 📂 Article 📅 1976 🏛 Springer-Verlag 🌐 French ⚖ 231 KB

Primitive Unimodular Groups of Degree 2

Primitive Unimodular Groups of Degree 2 as Differential Galois Groups

✍ Teresa Crespo; Zbigniew Hajto 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 143 KB

The construction starts with a polynomial with Galois group the given group and is based on representation theory.