✦ LIBER ✦

Connected Linear Groups as Differential Galois Groups

✍ Scribed by C. Mitschi; M.F. Singer

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 272 KB
Volume: 184
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.0263

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Projective Linear Groups as Galois Group

Projective Linear Groups as Galois Groups overQvia Modular Representations

✍ Luis Dieulefait; Núria Vila 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 288 KB

We give an algorithm for the determination of the finitely many primes such that the image of the modular Galois representations attached to a weight 2 newform on Γ 0 (N ) without complex multiplication or inner twists may not be "as large as possible". We apply the algorithm to suitable newforms a

Symplectic Groups as Galois Groups

✍ Nicholas F.J. Inglis 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 66 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.

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

Independent linear forms on connected Ab

Independent linear forms on connected Abelian groups

✍ Gennadiy Feldman; Margaryta Myronyuk 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 149 KB 👁 1 views

## Abstract According to the classical Skitovich‐Darmois theorem the independence of two linear forms of independent random variables implies that the random variables are Gaussian. We prove an analog of this theorem for some locally compact Abelian groups. It turns out that in the considered case

Subgroups of HolQ8as Galois Groups

✍ Arne Ledet 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 317 KB

In this paper, we consider nonsplit Galois theoretical embedding problems with cyclic kernel of prime order p, in the case where the ground field has characteristic / p. It is shown that such an embedding problem can always be reduced to another embedding problem, in which the ground field contains