Results 11 to 20 of about 87,537 (161)
Book Review: Inverse Galois theory [PDF]
Bulletin of the American Mathematical Society, 2000 Helmut Völklein
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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 Inverse Problem in Differential Galois Theory
, 2002 Differential Galois theory generalizes the usual Galois theory for polynomials to differential equations. There is the notion of a splitting field (Picard-Vessiot extension) of a differential equation, and the differential Galois group is the group of automorphisms of this extension which fix the base field and commute with the derivation. Differential
Julia Hartmann
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Galois Theory under inverse semigroup actions [PDF]
30 ...
Wesley G. Lautenschlaeger +1 more
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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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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 $q$-analogue of the wild fundamental group and the inverse problem of the Galois theory of $q$-difference equations [PDF]
Annales scientifiques de l'École normale supérieure, 2015 In previous papers, we defined $q$-analogues of alien derivations for linear analytic $q$-difference equations with integral slopes and proved a density theorem (in the Galois group) and a freeness theorem. In this paper, we completely describe the wild fundamental group and apply this result to the inverse problem in $q$-difference Galois theory.
Jean-Pierre Ramis, Jacques Sauloy
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The q-analogue of the wild fundamental group and the inverse problem of the Galois theory of q-difference equations [PDF]
, 2012 In previous papers, we defined $q$-analogues of alien derivations for linear analytic $q$-difference equations with integral slopes and proved a density theorem (in the Galois group) and a freeness theorem.
Ramis, Jean-Pierre, Sauloy, Jacques
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Demushkin groups and inverse Galois theory for pro-p-groups of finite rank and maximal p-extensions [PDF]
, 2011 LaTex, 28 pages; an inaccuracy in the proof of Lemma 3.2 is fixed; improvements in the presentation at several other ...
Ivan D. Chipchakov
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