Results 11 to 20 of about 23,993 (138)
First-order theory of a field and its Inverse Galois Problem [PDF]
, 2020 Let $G$ be a finite group. Then there exists a first-order statement $S(G)$ in the language of rings without parameters and depending only on $G$ such that, for any field $K$, we have that $K\models S(G)$ if and only if $K$ has a Galois extension with the Galois group isomorphic to $G$.
Francesca Balestrieri +2 more
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The inverse problem of differential Galois theory over the field R(z) [PDF]
, 2008 23 ...
Tobias Dyckerhoff
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Abelian constraints in inverse Galois theory [PDF]
manuscripta mathematica, 2008 Let \(k\) be a field, \(B\) a \(k\)-curve (i.e. a smooth projective and geometrically connected \(k\)-scheme of dimension 1), \(G\) a finite group, \(f:Y\to B\) a \(k\)-\(G\)-cover of curves with group \(G\) and ramification indices \(e_1,\dots,e_r\) and let \(P\) be ant subgroup of \(G\) of index \(m.\) Assume that the branch divisor of \(f:Y\to B ...
Anna Cadoret, Pierre Dèbes
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On the Constructive Inverse Problem in Differential Galois Theory# [PDF]
Communications in Algebra, 2005 Several misprints have been corrected and the statement of Propositions 3.2 and 3.4 have been made more precise and their proofs ...
William J. Cook +2 more
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Galois Theory under inverse semigroup actions [PDF]
30 ...
Wesley G. Lautenschlaeger +1 more
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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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Book Review: Inverse Galois theory [PDF]
Bulletin of the American Mathematical Society, 2000 Helmut Völklein
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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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