Results 21 to 30 of about 87,537 (161)

The regular singular inverse problem in differential Galois theory [PDF]

13 ...
Thomas Serafini, Michael Wibmer
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Commutative and noncommutative aspects of inverse Galois theory

, 2021
In this thesis, we are dealing with both commutative and noncommutative aspects of inverse Galois theory. In the commutative setting, we produce explicit Galois realizations of some infinite families of 2-groups. In the non-commutative setting, we study the inverse Galois problem and finite embedding problems over some twisted skew fields of fractions.
Angelot Behajaina
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Topics in Inverse Galois Theory

, 2011
Master of ...
Andrew Johan Wills
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On Ramis's solution of the local inverse problem of differential Galois theory

Journal of Pure and Applied Algebra, 1996
\textit{J. P. Ramis} [About the inverse problem in differential Galois theory: The differential Abhyankar conjecture. In: Braaksma, B. L. J. (ed.) et al., The Stokes phenomenon and Hilbert's 16th problem. Proceedings of the workshop, Groningen, 261-278 (1996; Zbl 0860.12003)] gave necessary and sufficient conditions for a linear algebraic group to be ...
Claude Mitschi, Michael F. Singer
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The inverse problem of Galois theory: the rigidity method

, 2019
Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelona, Any: 2019, Director: Núria ...
Martínez Marín, Josep Miquel
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Seven Small Simple Groups Not Previously Known to Be Galois Over $\mathbb{Q}$

Mathematics, 2022
In this note we realize seven small simple groups as Galois groups over Q. The technique that we employ is the determination of the images of Galois representations attached to modular and automorphic forms, relying in two cases on recent results of ...
Luis Dieulefait, Enric Florit, Núria Vila   +2 more
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Coaction and double-copy properties of configuration-space integrals at genus zero

Journal of High Energy Physics, 2021
We investigate configuration-space integrals over punctured Riemann spheres from the viewpoint of the motivic Galois coaction and double-copy structures generalizing the Kawai-Lewellen-Tye (KLT) relations in string theory.
Ruth Britto, Sebastian Mizera, Carlos Rodriguez, Oliver Schlotterer   +3 more
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Contemporary Galois theory and its classical problems

Mathematics and Education in Mathematics, 2023
In this survey we outline the milestones of several classical problems in Galois theory: Noether’s problem, the inverse problem and the embedding problem.
I. Michailov
semanticscholar   +1 more source

Automorphic Galois representations and the inverse Galois problem for certain groups of type 𝐷_{𝑚} [PDF]

, 2019
Let $m$ be a positive even integer greater than four and $\ell$ be an odd prime. In this paper, we prove that at least one of the following groups: $\mbox{P}\Omega^\pm_{2m}(\mathbb{F}_{\ell^s})$, $\mbox{PSO}^\pm_{2m}(\mathbb{F}_{\ell^s})$, $\mbox{PO}_{2m}
A. Zenteno
semanticscholar   +1 more source

AN EXPLICIT PSp₄(3)-POLYNOMIAL WITH 3 PARAMETERS OF DEGREE 40 [PDF]

, 2011
We will give an explicit polynomial over ℚ with 3 parameters of degree 40 as a result of the inverse Galois problem. Its Galois group over ℚ (resp. ℚ(√-3)) is isomorphic to PGSp4(3) (resp. PSp4(3)) and it is a regular PSp4(3)-polynomial over ℚ(p√−3).
Kitayama, Hidetaka
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